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Beliebt Rechnen >

y^{''}+4y^'+3y=20te^{5t}

Lösung

y^{^{''}} + 4 y^{^{'}} + 3 y = 20 t e^{5 t}

Lösung

y = c_{1} e^{- t} + c_{2} e^{- 3 t} + \frac{5 e ^{5 t} t}{12} - \frac{35}{288} e^{5 t}

Schritte zur Lösung

y^{''} (t) + 4 y^{'} (t) + 3 y = 20 t e^{5 t}

Solve linear ODE:

y = c_{1} e^{- t} + c_{2} e^{- 3 t} + \frac{5 e ^{5 t} t}{12} - \frac{35}{288} e^{5 t}

y = c_{1} e^{- t} + c_{2} e^{- 3 t} + \frac{5 e ^{5 t} t}{12} - \frac{35}{288} e^{5 t}

Graph

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