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Beliebt Rechnen >

y^{''}+11y^'+24y=0,y(0)=1,y^'(0)=0

Lösung

y^{^{''}} + 11 y^{^{'}} + 24 y = 0, y (0) = 1, y^{^{'}} (0) = 0

Lösung

y = (1 + \frac{3}{5}) e^{- 3 t} - \frac{3}{5} e^{- 8 t}

Schritte zur Lösung

y^{''} (t) + 11 y^{'} (t) + 24 y = 0

Solve linear ODE:

y = (1 + \frac{3}{5}) e^{- 3 t} - \frac{3}{5} e^{- 8 t}

y = (1 + \frac{3}{5}) e^{- 3 t} - \frac{3}{5} e^{- 8 t}

Graph

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