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first-order-odes

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Solve first-order ODEs efficiently.

Education & Research#numerical methods#calculus#odes#differential equations#sympy#scipy#symbolic math
Authorscooter-lacroix
Version1.0.0
Installs0

System Documentation

What problem does it solve?

This Skill provides a structured approach to solving problems involving first-order ordinary differential equations (ODEs) within the context of ODEs and PDEs.

Core Features & Use Cases

  • ODE Classification: Helps identify whether an ODE is linear, separable, exact, or Bernoulli.
  • Solution Method Selection: Recommends appropriate analytical or numerical methods based on ODE classification.
  • Numerical Solvers: Integrates with scipy.integrate.solve_ivp for initial value problems.
  • Symbolic Solvers: Utilizes sympy_compute.py for symbolic solutions.
  • Phase Portraits: Aids in analyzing autonomous ODEs by finding and analyzing equilibria.
  • Use Case: When faced with a differential equation like y' + 2y = sin(x), this skill will guide you to classify it as linear, apply the integrating factor method, and verify the solution.

Quick Start

Use the first-order-odes skill to solve the differential equation y' + y = x with the initial condition y(0) = 1.

Dependency Matrix

Required Modules

scipysympy

Components

scriptsreferences

💻 Claude Code Installation

Recommended: Let Claude install automatically. Simply copy and paste the text below to Claude Code.

Please help me install this Skill:
Name: first-order-odes
Download link: https://github.com/scooter-lacroix/Maestro/archive/main.zip#first-order-odes

Please download this .zip file, extract it, and install it in the .claude/skills/ directory.
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