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Mathematics

The Method of Undetermined Coefficients for Nonhomogeneous Differential Equations

Quick fact

The method of undetermined coefficients only 'guesses' a solution in the form of the forcing function, and if that guess appears in the homogeneous solution, you simply multiply it by x (the independent variable) to fix the overlap.

Why this is interesting

When a spring is driven by a rhythmic push, its motion is described by a differential equation with a forcing term. How can we predict the eventual steady oscillation?

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The Method of Undetermined Coefficients for Nonhomogeneous Differential Equations

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