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Beliebt Rechnen >

y^{''}-y^'-6y=-4e^{2t},y(0)=0,y^'(0)=0

Lösung

y^{^{''}} - y^{^{'}} - 6 y = - 4 e^{2 t}, y (0) = 0, y^{^{'}} (0) = 0

Lösung

y = (\frac{1}{5} - 1) e^{3 t} - \frac{1}{5} e^{- 2 t} + e^{2 t}

Schritte zur Lösung

y^{''} (t) - y^{'} (t) - 6 y = - 4 e^{2 t}

Solve linear ODE:

y = (\frac{1}{5} - 1) e^{3 t} - \frac{1}{5} e^{- 2 t} + e^{2 t}

y = (\frac{1}{5} - 1) e^{3 t} - \frac{1}{5} e^{- 2 t} + e^{2 t}

Graph

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