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Beliebt Rechnen >

y^{''}-4y^'+4y=5t^{-1}e^{2t}

Lösung

y^{^{''}} - 4 y^{^{'}} + 4 y = 5 t^{- 1} e^{2 t}

Lösung

y = c_{1} e^{2 t} + c_{2} t e^{2 t} - 5 e^{2 t} t + 5 e^{2 t} t ln (t)

Schritte zur Lösung

y^{''} (t) - 4 y^{'} (t) + 4 y = 5 t^{- 1} e^{2 t}

Solve linear ODE:

y = c_{1} e^{2 t} + c_{2} t e^{2 t} - 5 e^{2 t} t + 5 e^{2 t} t ln (t)

y = c_{1} e^{2 t} + c_{2} t e^{2 t} - 5 e^{2 t} t + 5 e^{2 t} t ln (t)

Graph

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