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Key Concepts
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1. Basic Concepts
- Order: The highest order of derivative present in the equation.
- Degree: The power of the highest order derivative (when made polynomial).
2. Methods of Solving First Order DE
- Variable Separable: f(x) dx = g(y) dy
- Homogeneous Equations: Substitute y = vx to simplify.
- Linear Differential Equations: dy/dx + Py = Q (Solve using Integrating Factor I.F. = e^∫P dx).