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Beliebt Rechnen >

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

Lösung

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

Lösung

y = e^{t} (c_{1} cos (2 t) + c_{2} sin (2 t)) + \frac{1}{13} e^{- 2 t}

Schritte zur Lösung

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

Solve linear ODE:

y = e^{t} (c_{1} cos (2 t) + c_{2} sin (2 t)) + \frac{1}{13} e^{- 2 t}

y = e^{t} (c_{1} cos (2 t) + c_{2} sin (2 t)) + \frac{1}{13} e^{- 2 t}

Graph

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