Variation of parameters

Layer 0 — Mathematicsin the differential-equations subtree

Lagrange's technique to solve inhomogeneous linear ODEs given a fundamental set (y_1, y_2) of the homogeneous equation. Wronskian W = y_1 y_2' − y_1' y_2; particular solution y_p = −y_1·∫ y_2 g/W + y_2·∫ y_1 g/W. Matrix form: y_p(t) =…

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