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Beliebt Rechnen >

x^{''}-6x^'+25x=64e^{-t}

Lösung

x^{^{''}} - 6 x^{^{'}} + 25 x = 64 e^{- t}

Lösung

x = e^{3 t} (c_{1} cos (4 t) + c_{2} sin (4 t)) + 2 e^{- t}

Schritte zur Lösung

x^{''} (t) - 6 x^{'} (t) + 25 x = 64 e^{- t}

Solve linear ODE:

x = e^{3 t} (c_{1} cos (4 t) + c_{2} sin (4 t)) + 2 e^{- t}

x = e^{3 t} (c_{1} cos (4 t) + c_{2} sin (4 t)) + 2 e^{- t}

Graph

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