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apply-differential-equations - Classify, solve, and validate differential equations

Classify ODEs and PDEs, select analytical or numerical solvers, perform stability analysis, and validate solution accuracy.

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Updated: 2026-09-18

Capabilities

Typical Inputs

Typical Outputs

What this skill does

  • Classify differential equations
  • Apply analytical solution methods
  • Select appropriate numerical solvers
  • Configure solver tolerances
  • Perform stability analysis
  • Validate equation solutions

Inputs

  • Differential equations and parameters
  • Initial and boundary conditions
  • Solver tolerance parameters

Outputs

  • Analytical equation solutions
  • Numerical trajectory data
  • Stability analysis results
  • Solution validation reports

Requirements

  • Python environment with SciPy library

Source

  • Spec: SKILL.md

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differential-equations
ode
pde
numerical-methods
dynamical-systems
mathematical-modeling
Classify differential equations
Apply analytical solution methods
Select appropriate numerical solvers
Configure solver tolerances
Differential equations and parameters
Initial and boundary conditions
Solver tolerance parameters
Analytical equation solutions
Numerical trajectory data
Stability analysis results