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Beliebt Rechnen >

y^{''}+5y^'+6y=-10te^{2t}

Lösung

y^{^{''}} + 5 y^{^{'}} + 6 y = - 10 t e^{2 t}

Lösung

y = c_{1} e^{- 2 t} + c_{2} e^{- 3 t} - \frac{e ^{2 t} t}{2} + \frac{9}{40} e^{2 t}

Schritte zur Lösung

y^{''} (t) + 5 y^{'} (t) + 6 y = - 10 t e^{2 t}

Solve linear ODE:

y = c_{1} e^{- 2 t} + c_{2} e^{- 3 t} - \frac{e ^{2 t} t}{2} + \frac{9}{40} e^{2 t}

y = c_{1} e^{- 2 t} + c_{2} e^{- 3 t} - \frac{e ^{2 t} t}{2} + \frac{9}{40} e^{2 t}

Graph

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