methods of solving ODEs
There are many different methods of solving ordinary differential equations
. These are tabulated here and divided into sections for linear and non-linear ODEs. These sections are further subdivided into exact, numerical and quantitative methods.
1 Linear ODEs
1.1 Exact methods
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General solution of linear differential equation
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Linear differential equation of first order
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Method of separation of variables
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Method of integrating factors
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Method of undetermined coefficients
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Frobenius’ Method
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Method of Green’s functions
1.2 Numerical methods
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Runge-Kutta method
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Heun method
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Rayleigh-Ritz method