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Beliebt Rechnen >

y^{''}+7y^'+10y=-20te^{4t}

Lösung

y^{^{''}} + 7 y^{^{'}} + 10 y = - 20 t e^{4 t}

Lösung

y = c_{1} e^{- 2 t} + c_{2} e^{- 5 t} - \frac{10 e ^{4 t} t}{27} + \frac{25}{243} e^{4 t}

Schritte zur Lösung

y^{''} (t) + 7 y^{'} (t) + 10 y = - 20 t e^{4 t}

Solve linear ODE:

y = c_{1} e^{- 2 t} + c_{2} e^{- 5 t} - \frac{10 e ^{4 t} t}{27} + \frac{25}{243} e^{4 t}

y = c_{1} e^{- 2 t} + c_{2} e^{- 5 t} - \frac{10 e ^{4 t} t}{27} + \frac{25}{243} e^{4 t}

Graph

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