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Beliebt Rechnen >

0.5y^{''}+10y^'+100y=150,y(0)=0,y^'(0)=0

Lösung

0.5 y^{^{''}} + 10 y^{^{'}} + 100 y = 150, y (0) = 0, y^{^{'}} (0) = 0

Lösung

y = e^{- 10 t} (- \frac{3}{2} cos (10 t) - \frac{3}{2} sin (10 t)) + \frac{3}{2}

Schritte zur Lösung

0.5 y^{''} (t) + 10 y^{'} (t) + 100 y = 150

Solve linear ODE:

y = e^{- 10 t} (- \frac{3}{2} cos (10 t) - \frac{3}{2} sin (10 t)) + \frac{3}{2}

y = e^{- 10 t} (- \frac{3}{2} cos (10 t) - \frac{3}{2} sin (10 t)) + \frac{3}{2}

Graph

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