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Solve second-order differential equations v1.0.0

Use this resource to solve a second-order differential equation

New

  • 441 downloads
  • 241 likes
  • 112 saves

Free

Install with the CLI

In a terminal, from the folder you want:

npx --yes palatekit@latest install second-order-ode-solver

With no option, the skill goes to ~/.agents/skills/; add --agent claude-code (or codex, cursor…) to target an agent.

First time: connect the CLI with

npx --yes palatekit@latest login

The agent identifies the equation type, solves the characteristic equation for constant coefficients, handles Cauchy-Euler cases and moves to a numerical system solve if needed. You get the general solution or an approximation.

Mostly picked by

Updated November 2, 2026

Card for the “Solve second-order differential equations” skill

Details

Works in
Install guides
Generates with
Your agent's model
Licence
MIT

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What you get

  • SKILL.md: decision tree (constant coefficients, variable coefficients, Cauchy-Euler)
  • SKILL.md: SymPy commands (solve, charpoly, dsolve) and SciPy (system)

Good fit for

  • You study a damped oscillator
  • You need to solve a Cauchy-Euler equation

Not for

    Tags

    • odes
    • second order
    • oscillator
    • sympy

    About

    You say

    “Give the general solution of y'' + 4y = 0.”

    Card for the “Solve second-order differential equations” skill

    Skill published by parcadei under the MIT license, delivered in its original version.

    Show more

    How to use it

    1. Install the skill in your agent's skills folder
    2. Ask your agent to solve a second-order differential equation
    3. Review and adjust the result

    Content preview

    Files

    • LICENSE1.1 KB
    • NOTICE-PALATEKIT.md0.5 KB
    • SKILL.md3.3 KB

    Origin and licence

    Listed unmodified

    Author
    parcadei
    Source
    github.com/parcadei/continuous-claude-v3/tree/d07ff4b06b62f43771bc0c927d0211b734d6149e/.claude/skills/math/odes-pdes/second-order-odes
    Licence
    MIT

    Notice

    « second-order-odes » (parcadei, MIT) livré dans sa version d'origine : fiche en français et en anglais par PalateKit.

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