# differential-equations

- Author: Develata
- Repository: Develata/Deve-Skills
- Version: 20260129203735
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- Last Updated: 2026-02-06
- Source: https://github.com/Develata/Deve-Skills
- Web: https://mule.run/skillshub/@@Develata/Deve-Skills~differential-equations:20260129203735

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# Differential Equations (ODE & PDE)

**Path**: `math-researcher-teacher/domains/analysis-pde/differential-equations/`

## 🔬 Core Capabilities

### 1. Ordinary Differential Equations (ODEs)
*   Initial Value Problems (IVP).
*   Boundary Value Problems (BVP).
*   Phase portrait analysis, stability theory.

### 2. Partial Differential Equations (PDEs)
*   Heat, Wave, and Laplace equations.
*   Method of Characteristics.
*   Separation of Variables.

## 💻 Tools
*   Use `scipy.integrate.solve_ivp` via `common/numeric_engine.py` for numerical solutions.
*   Use `sympy.dsolve` for symbolic solutions.