List of solution strategies for differential equations

• Method of undetermined coefficients
• Integrating factor

For y′ + a(x)y = b(x) let M(x) = exp ∫a(x) dx then

$$y(x) = \frac{\int b(x) M(x)\, dx + C}{M(x)}.\,$$

• Method of variation of parameters
• Separable differential equation

Numerical methods

• Finite element method
• Finite volume method
• Finite difference method

See also

• Examples of differential equations
• Table of integrals

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