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Beliebt Rechnen >

y^{''}+10y^'+25y=14e^{-5x}

Lösung

y^{^{''}} + 10 y^{^{'}} + 25 y = 14 e^{- 5 x}

Lösung

y = c_{1} e^{- 5 x} + c_{2} x e^{- 5 x} + 7 x^{2} e^{- 5 x}

Schritte zur Lösung

y^{''} (x) + 10 y^{'} (x) + 25 y = 14 e^{- 5 x}

Solve linear ODE:

y = c_{1} e^{- 5 x} + c_{2} x e^{- 5 x} + 7 x^{2} e^{- 5 x}

y = c_{1} e^{- 5 x} + c_{2} x e^{- 5 x} + 7 x^{2} e^{- 5 x}

Graph

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