first-order-odes
CommunitySolve first-order ODEs
Education & Research#numerical methods#calculus#odes#differential equations#sympy#scipy#symbolic computation
Authorparcadei
Version1.0.0
Installs0
System Documentation
What problem does it solve?
This Skill provides strategies and tools for solving first-order ordinary differential equations (ODEs), a fundamental task in many scientific and engineering disciplines.
Core Features & Use Cases
- ODE Classification: Helps identify the type of first-order ODE (linear, separable, exact, Bernoulli).
- Solution Method Selection: Recommends appropriate analytical or numerical methods based on ODE classification.
- Numerical Solvers: Integrates with SciPy for solving initial value problems (IVPs).
- Symbolic Solvers: Leverages SymPy for analytical solutions and verification.
- Phase Portraits: Aids in visualizing autonomous ODE behavior and stability analysis.
- Use Case: When faced with a differential equation like
y' + 2y = x, this skill can guide you to classify it as linear, apply the integrating factor method, or use SymPy to find the exact solution and check initial conditions.
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/parcadei/Continuous-Claude-v3/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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