New: 98,000+ skills indexed from GitHub repos with 100+ stars · every skill safety-checkedBrowse top skillsTop skills
Esc to closeBrowse all skills
Submit a skillBrowse skills
Submit a skillBrowse skills

Agent skill

First Order Odes

by parcadei in parcadei/Continuous-Claude-v3

Problem-solving strategies for first order odes in odes pdes

MITAuto-check: notesResearch & Science

Install First Order Odes

skills CLI
$ npx skills add parcadei/Continuous-Claude-v3 --skill first-order-odes -a claude-code

Project install by default; add -g for ~/.claude/skills/.

GitHub CLI
$ gh skill install parcadei/Continuous-Claude-v3 first-order-odes --agent claude-code

Project scope by default; add --scope user for a personal install. Needs GitHub CLI 2.90.0 or later (public preview).

Manual copy
$ git clone --depth 1 https://github.com/parcadei/Continuous-Claude-v3.git skills-src && mkdir -p .claude/skills && cp -r skills-src/.claude/skills/math/odes-pdes/first-order-odes .claude/skills/first-order-odes && rm -rf skills-src

Use ~/.claude/skills/ instead of .claude/skills for a personal install. The folder must contain SKILL.md.

Claude Code skills documentation · loads skills from .claude/skills/

Facts

Skill name
first-order-odes
GitHub stars
3.9k
Used in
2 other repos
Token cost
~844 tokens
SKILL.md length
359 words
Files
1
Skills in repo
141
Repo updated
First seen
Licence
MIT

At a glance

Problem-solving strategies for first order odes in odes pdes

  • Works in 5 steps: Classify the ODE → Select Solution Method → Numerical Solution (IVP) → …
  • Tasks that involve Math and symbolic computation
  • SKILL.md covers When to Use, Decision Tree, Tool Commands and Key Techniques, plus 1 more section
  • Calls uv

What it does

First Order Odes is an agent skill from parcadei/Continuous-Claude-v3. Problem-solving strategies for first order odes in odes pdes

Its SKILL.md is about 840 tokens, which your agent loads only when the skill is triggered. It is a single SKILL.md file with no bundled scripts.

It sits in Research & Science, covering Math and symbolic computation. The repository describes itself as: Context management for Claude Code. Hooks maintain state via ledgers and handoffs. MCP execution without context pollution. Agent orchestration with isolated context windows. The licence is MIT.

When your agent uses it

  • Tasks that involve Math and symbolic computation

Example prompts

  • “/first-order-odes”

Requirements

  • Python 3
  • Pre-approved tools (allowed-tools): Bash, Read

Workflow steps

5 steps, taken from the first numbered list in SKILL.md.

  1. Classify the ODE
  2. Select Solution Method
  3. Numerical Solution (IVP)
  4. Verify Solution
  5. Phase Portrait (Autonomous)

What it can do on your machine

Read from SKILL.md and the folder at commit d07ff4b. It shows what the files ask for, not the result of running them.

  • Tool permissions

    Pre-approves these tools, so the agent can use them without asking each time:

    • Bash
    • Read

    From allowed-tools in the SKILL.md frontmatter.

  • Runs code

    Shell commands in SKILL.md call:

    • uv

    From the folder's file list and the shell code blocks in SKILL.md.

  • Network

    No URLs in SKILL.md. Its commands use uv, which can reach the network depending on how they are called.

    From URLs in SKILL.md, links to its own repository left out.

  • Credentials

    Names no API keys, tokens, secrets or passwords.

    From names ending in _API_KEY, _TOKEN, _SECRET, _KEY or _PASSWORD in SKILL.md.

Context cost

First Order Odes loads about 844 tokens when it runs. Until then it costs about 19 tokens; SKILL.md has 359 words of instructions outside code blocks.

Always · name and description, kept in context so the agent knows when to use it
~19
When it runs · the whole SKILL.md, loaded when a task matches
~844

Estimates: characters ÷ 4, the usual rule of thumb; real counts depend on the model's tokenizer. Scripts and assets cost tokens only if the agent reads them.

Safety

Auto-check: notes

The automated check noted patterns worth knowing about, such as sudo or a known installer.

  • NotePre-approves every shell command (allowed-tools: Bash)SKILL.md
    allowed-tools: Bash, Read

Automated static check — not a guarantee. Review scripts before installing. It scans the text of SKILL.md for risky patterns (piping downloads into a shell, reading credential files, hidden Unicode, destructive commands); files beside SKILL.md are not scanned.

SKILL.md

The full file from parcadei/Continuous-Claude-v3 at commit d07ff4b, republished under its MIT licence (© parcadei). 359 words, ~844 tokens.

Download SKILL.mdSave it as .claude/skills/first-order-odes/SKILL.md (or your agent's skills folder).
name
first-order-odes
description
Problem-solving strategies for first order odes in odes pdes
allowed-tools
Bash, Read

First Order Odes

When to Use

Use this skill when working on first-order-odes problems in odes pdes.

Decision Tree

  1. Classify the ODE

    • Linear: y' + P(x)y = Q(x)?
    • Separable: y' = f(x)g(y)?
    • Exact: M(x,y)dx + N(x,y)dy = 0 with dM/dy = dN/dx?
    • Bernoulli: y' + P(x)y = Q(x)y^n?

  2. Select Solution Method

    TypeMethod
    SeparableSeparate and integrate
    LinearIntegrating factor e^{int P dx}
    ExactFind potential function
    BernoulliSubstitute v = y^{1-n}

  3. Numerical Solution (IVP)

    • scipy.integrate.solve_ivp(f, [t0, tf], y0, method='RK45')
    • For stiff systems: method='Radau' or method='BDF'
    • Adaptive step size: specify rtol/atol, not step size

  4. Verify Solution

    • Substitute back into ODE
    • Check initial/boundary conditions
    • sympy_compute.py dsolve "y' + y = x" --ics "{y(0): 1}"

  5. Phase Portrait (Autonomous)

    • Find equilibria: f(y*) = 0
    • Analyze stability: sign of f'(y*)
    • z3_solve.py solve "dy/dt == 0"

Tool Commands

Scipy_Solve_Ivp
bash
uv run python -c "from scipy.integrate import solve_ivp; sol = solve_ivp(lambda t, y: -y, [0, 5], [1]); print('y(5) =', sol.y[0][-1])"
Sympy_Dsolve
bash
uv run python -m runtime.harness scripts/sympy_compute.py dsolve "Derivative(y,x) + y" --ics "{y(0): 1}"
Z3_Equilibrium
bash
uv run python -m runtime.harness scripts/z3_solve.py solve "f(y_star) == 0"

Key Techniques

From indexed textbooks:

  • [Elementary Differential Equations and... (Z-Library)] Solving ODEs with MATLAB (New York: Cambridge REFERENCES cyan black NJ: Prentice-Hall, 1971). Mattheij, Robert, and Molenaar, Jaap, Ordinary Differential Equations in Theory and Practice Shampine, Lawrence F. Numerical Solution of Ordinary Differential Equations (New York: Chapman and Shampine, L.
  • [Elementary Differential Equations and... (Z-Library)] Differential Equations: An Introduction to Modern Methods and Applications (2nd ed. Use the Laplace transform to solve the system 2e−t 3t α1 α2 , where α1 and α2 are arbitrary. How must α1 and α2 be chosen so that the solution is identical to Eq.
  • [An Introduction to Numerical Analysis... (Z-Library)] Modern Numerical Methods for Ordinary Wiley, New York. User's guide for DVERK: A subroutine for solving non-stiff ODEs. Keller (1966), Analysis of Numerical Methods.
  • [Elementary Differential Equations and... (Z-Library)] Show that the rst order Adams–Bashforth method is the Euler method and that the rst order Adams–Moulton method is the backward Euler method. Show that the third order Adams–Moulton formula is yn+1 = yn + (h/12)(5fn+1 + 8fn − fn−1). Derive the second order backward differentiation formula given by Eq.
  • [An Introduction to Numerical Analysis... (Z-Library)] Test results on initial value methods for non-stiff ordinary differential equations, SIAM J. Comparing numerical methods for Fehlberg, E. Klassische Runge-Kutta-Formeln vierter und niedrigerer Ordnumg mit Schrittweiten-Kontrolle und ihre Anwendung auf Warme leitungsprobleme, Computing 6, 61-71.
Show full SKILL.md (9 more words)Show less

Cognitive Tools Reference

See .claude/skills/math-mode/SKILL.md for full tool documentation.

© parcadei, MIT. Rendered from Markdown: HTML in the file is shown as text, images as links, and headings moved down two levels. Raw file

Files

Just SKILL.md in .claude/skills/math/odes-pdes/first-order-odes of parcadei/Continuous-Claude-v3.

Open the folder on GitHubat commit d07ff4b

Used in 2 other repositories

We found 2 copies of this SKILL.md (exact, near-identical or edited) in other folders, from 2 other GitHub owners. This page covers the copy in parcadei/Continuous-Claude-v3, which our catalogue first saw on October 7, 2026.

Compare with similar skills

First Order Odes next to the 5 skills that share the most tags, products or categories with it. Stars are the repository's; “used in” counts other GitHub owners with a copy.

First Order Odes compared with similar skills
SkillStarsUsed inTokensAuto-checkLicenceRepo updated
First Order Odes this skillparcadei/Continuous-Claude-v33.9k2 repos~844Automated safety check: NotesMIT
SympyzLanqing/codex-claude-academic-skills4.6k16 repos~3.4kAutomated safety check: PassMIT
Edu Analytic Geometrywy51ai/edulab1.4k1 repos~1.6kAutomated safety check: PassApache-2.0
Edu Solid Geometrywy51ai/edulab1.4k1 repos~1.1kAutomated safety check: PassApache-2.0
Math Modeling Competition WorkflowXiaoMaColtAI/math-modeling-skill1.9k—~1.2kAutomated safety check: PassNone
Math Toolsananddtyagi/cc-marketplace6872 repos~1.3kAutomated safety check: PassNone

Similar skills

  • Sympy

    zLanqing/codex-claude-academic-skills

    A skill your agent uses when working with symbolic mathematics in Python.

    4.6k GitHub starsUsed in 16 repos~3.4k tokens
    Research & ScienceAuto-check passed

  • Edu Analytic Geometry

    wy51ai/edulab

    把一道解析几何题解成一个自包含的交互教学网页：左栏题面 + 动态控制台（一个 可变参数滑块驱动实时重算的几何量 + 理论范围/定值指示），中栏 KaTeX 分步解析，右栏 2D Canvas 动态几何画板（椭圆/双曲线/抛物线/圆 + 动直线/动点 + 向量 + 标注 + 画笔涂鸦）。

    1.4k GitHub starsUsed in 1 repo~1.6k tokens
    Research & ScienceAuto-check passed

  • Edu Solid Geometry

    wy51ai/edulab

    把一道立体几何题解成一个自包含的交互教学网页：左侧 MathJax 分步解析， 右侧 Three.js 可交互 3D 模型（分步高亮 + 镜头切换）。支持三种入口——给定文字题目、 随机出题、上传题目图片识别后解题。覆盖正方体/长方体、棱锥/棱柱、圆柱/圆锥上的线面角、 二面角、异面直线夹角、点到平面距离、体积等题型，统一用"建系+向量法"，并由 sympy 精确 计算驱动（答案、3D…

    1.4k GitHub starsUsed in 1 repo~1.1k tokens
    Research & ScienceAuto-check passed

  • Math Modeling Competition Workflow

    XiaoMaColtAI/math-modeling-skill

    Three-role workflow for math modeling contests: problem analysis, code and results, then a paper, with independent subagent checks at each stage gate.

    1.9k GitHub stars~1.2k tokensUpdated today
    Research & ScienceAuto-check passed

  • Math Tools

    ananddtyagi/cc-marketplace

    Deterministic mathematical computation using SymPy. An agent skill from ananddtyagi/cc-marketplace.

    687 GitHub starsUsed in 2 repos~1.3k tokens
    Research & ScienceAuto-check passed

  • Proof Run Orchestrator

    wanshuiyin/Auto-claude-code-research-in-sleep

    Runs a mathematical proof project as a stateful pipeline of run directories: a local attempt first, then a manual GPT Pro handoff package, with an optional DeepSeek audit.

    17k GitHub starsUsed in 1 repo~4.7k tokens
    Research & ScienceAuto-check passed

More from parcadei/Continuous-Claude-v3

All 141 skills in this repo

  • Tldr Deep

    parcadei/Continuous-Claude-v3

    Full 5-layer analysis of a specific function. An agent skill from parcadei/Continuous-Claude-v3.

    3.9k GitHub starsUsed in 2 repos~677 tokens
    Auto-check passed

  • Compound Learnings

    parcadei/Continuous-Claude-v3

    Transform session learnings into permanent capabilities (skills, rules, agents).

    3.9k GitHub starsUsed in 1 repo~1.6k tokens
    Auto-check: notes

  • Gradient Methods

    parcadei/Continuous-Claude-v3

    Problem-solving strategies for gradient methods in optimization

    3.9k GitHub starsUsed in 3 repos~1k tokens
    Auto-check: notes

  • Debug Hooks

    parcadei/Continuous-Claude-v3

    Systematic hook debugging workflow. An agent skill from parcadei/Continuous-Claude-v3.

    3.9k GitHub starsUsed in 1 repo~863 tokens
    Auto-check: notes

  • Math

    parcadei/Continuous-Claude-v3

    Unified math capabilities - computation, solving, and explanation.

    3.9k GitHub starsUsed in 3 repos~1.6k tokens
    Auto-check: notes

  • Math Model Selector

    parcadei/Continuous-Claude-v3

    Routes problems to appropriate mathematical frameworks using expert heuristics

    3.9k GitHub starsUsed in 3 repos~841 tokens
    Auto-check passed

Categories

Questions about First Order Odes

What does First Order Odes do?

Problem-solving strategies for first order odes in odes pdes. First Order Odes is an agent skill from parcadei/Continuous-Claude-v3.

When should I use First Order Odes?

First Order Odes fits situations like: tasks that involve Math and symbolic computation.

How do I install First Order Odes in Claude Code?

Run `npx skills add parcadei/Continuous-Claude-v3 --skill first-order-odes -a claude-code`. Or copy the skill folder (.claude/skills/math/odes-pdes/first-order-odes in parcadei/Continuous-Claude-v3) into .claude/skills/first-order-odes in your project. Claude Code loads it when a task matches its description.

How do I install First Order Odes in Codex?

Run `npx skills add parcadei/Continuous-Claude-v3 --skill first-order-odes -a codex`. Or copy the skill folder (.claude/skills/math/odes-pdes/first-order-odes in parcadei/Continuous-Claude-v3) into .agents/skills/first-order-odes in your project. Codex loads it when a task matches its description.

Can I use First Order Odes in Cursor, Gemini CLI or GitHub Copilot?

Cursor, Gemini CLI, GitHub Copilot and OpenCode also load SKILL.md folders. With the skills CLI, run `npx skills add parcadei/Continuous-Claude-v3 --skill first-order-odes -a cursor` (or -a gemini-cli, github-copilot or opencode for the others). To copy it by hand, put the folder in .cursor/skills/first-order-odes, .gemini/skills/first-order-odes, .github/skills/first-order-odes and .opencode/skills/first-order-odes in your project.

What does First Order Odes need to run?

Going by SKILL.md and its folder, First Order Odes needs the command-line tools its instructions call (uv). Our summary lists: Python 3. Its frontmatter pre-approves these tools: Bash, Read.

Does First Order Odes access the network?

SKILL.md contains no URLs. Its commands use uv, which can reach the network depending on how they are called. This is read from the text; nothing was executed.

Is First Order Odes safe to install?

Our automated static check of SKILL.md found notes only (pre-approves every shell command (allowed-tools: bash)), nothing it rates as a warning. It is not a guarantee. Review the folder before installing.

What licence does First Order Odes use?

First Order Odes is published under the MIT licence (the repository's licence). It allows redistribution, so the full SKILL.md is shown on this page.

How many tokens does First Order Odes use?

About 844 tokens (SKILL.md is roughly 3.4k characters). Agents keep only the skill's name and description in context until a task matches; then they load SKILL.md in full.

What are the alternatives to First Order Odes?

Skills that share tags, products or a category with First Order Odes: Sympy (zLanqing/codex-claude-academic-skills, 4.6k stars), Edu Analytic Geometry (wy51ai/edulab, 1.4k stars), Edu Solid Geometry (wy51ai/edulab, 1.4k stars) and Math Modeling Competition Workflow (XiaoMaColtAI/math-modeling-skill, 1.9k stars). The comparison table on this page puts their stars, adoption, token cost, safety result and licence side by side.

Who maintains First Order Odes?

parcadei (a GitHub user) maintains it in parcadei/Continuous-Claude-v3, which has 3,940 GitHub stars. The repository holds 141 skills in this directory. The repository was last updated on January 26, 2026.

Source: parcadei/Continuous-Claude-v3 on GitHub. Facts on this page come from the repository at the commit we read; the author's words are quoted as theirs.