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Mathematics · L4 · Choosing an ODE solution method

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Decision flowchart for picking between separation of variables, the integrating-factor method, and other techniques.

by @openstemUpdated Mathematics
First-order ODEdy/dx = f(x,y)Can you write itas f(x)g(y)?Separate variables∫dy/g(y) = ∫f(x)dxIs it linear:y′ + P(x)y = Q(x)?Integrating factorμ(x) = e^∫P(x)dxTry exact equations,substitution, or numerical methodsApply initial conditionto find constant CYesNoYesNo

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