List of solution strategies for differential equations

Exact methods

For

y'+a(x)y = b(x)

let

M(x)=\exp{\int a(x)\,dx}

then

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

Approximate (but convergent) methods

Successive Approximations^[1]
Perturbation Theory
Multiple scale Analysis
Series solution
- Power series solution of differential equations
  - Relation of power series solutions to Taylor series of solution function
- Generalized Fourier series (see orthogonal functions)

Numerical methods

Main article:

See also

References

↑ https://en.wikibooks.org/wiki/Ordinary_Differential_Equations/Successive_Approximations

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