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Beliebt Rechnen >

y^{''}-2y^'-3y=-3te^{-t}

Lösung

y^{^{''}} - 2 y^{^{'}} - 3 y = - 3 t e^{- t}

Lösung

y = c_{1} e^{3 t} + c_{2} e^{- t} + \frac{3 e ^{- t} t ^{2}}{8} + \frac{3 e ^{- t} t}{16}

Schritte zur Lösung

y^{''} (t) - 2 y^{'} (t) - 3 y = - 3 t e^{- t}

Solve linear ODE:

y = c_{1} e^{3 t} + c_{2} e^{- t} + \frac{3 e ^{- t} t ^{2}}{8} + \frac{3 e ^{- t} t}{16}

y = c_{1} e^{3 t} + c_{2} e^{- t} + \frac{3 e ^{- t} t ^{2}}{8} + \frac{3 e ^{- t} t}{16}

Graph

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