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Beliebt Rechnen >

y^{''}+4y^'+5y=34e^{2t},y(0)=1,y^'(0)=2

Lösung

y^{^{''}} + 4 y^{^{'}} + 5 y = 34 e^{2 t}, y (0) = 1, y^{^{'}} (0) = 2

Lösung

y = e^{- 2 t} (- cos (t) - 4 sin (t)) + 2 e^{2 t}

Schritte zur Lösung

y^{''} (t) + 4 y^{'} (t) + 5 y = 34 e^{2 t}

Solve linear ODE:

y = e^{- 2 t} (- cos (t) - 4 sin (t)) + 2 e^{2 t}

y = e^{- 2 t} (- cos (t) - 4 sin (t)) + 2 e^{2 t}

Graph

Beliebte Beispiele

y^{''}=32e^{2t},y(0)=3,y^'(0)=8

y^{^{''}} = 32 e^{2 t}, y (0) = 3, y^{^{'}} (0) = 8

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\int_{a}^{b} \frac{1}{b - a}

derivative-3cos(-3x)

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\frac{d}{d x} (x - 1 - ln (x))

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