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Beliebt Rechnen >

y^{''}+3y^'+2y=12t^3

Lösung

y^{^{''}} + 3 y^{^{'}} + 2 y = 12 t^{3}

Lösung

y = c_{1} e^{- t} + c_{2} e^{- 2 t} + 6 t^{3} - 27 t^{2} + 63 t - \frac{135}{2}

Schritte zur Lösung

y^{''} (t) + 3 y^{'} (t) + 2 y = 12 t^{3}

Solve linear ODE:

y = c_{1} e^{- t} + c_{2} e^{- 2 t} + 6 t^{3} - 27 t^{2} + 63 t - \frac{135}{2}

y = c_{1} e^{- t} + c_{2} e^{- 2 t} + 6 t^{3} - 27 t^{2} + 63 t - \frac{135}{2}

Graph

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