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Beliebt Rechnen >

y^{''}+2y^'+y=19e^{-t}

Lösung

y^{^{''}} + 2 y^{^{'}} + y = 19 e^{- t}

Lösung

y = c_{1} e^{- t} + c_{2} t e^{- t} + \frac{19 e ^{- t} t ^{2}}{2}

Schritte zur Lösung

y^{''} (t) + 2 y^{'} (t) + y = 19 e^{- t}

Solve linear ODE:

y = c_{1} e^{- t} + c_{2} t e^{- t} + \frac{19 e ^{- t} t ^{2}}{2}

y = c_{1} e^{- t} + c_{2} t e^{- t} + \frac{19 e ^{- t} t ^{2}}{2}

Graph

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