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Beliebt Rechnen >

y^{''}=4y,y(0)=0,y^'(0)=1

Lösung

y^{^{''}} = 4 y, y (0) = 0, y^{^{'}} (0) = 1

Lösung

y = \frac{1}{4} e^{2 t} - \frac{1}{4} e^{- 2 t}

Schritte zur Lösung

y^{''} (t) = 4 y

Solve linear ODE:

y = \frac{1}{4} e^{2 t} - \frac{1}{4} e^{- 2 t}

y = \frac{1}{4} e^{2 t} - \frac{1}{4} e^{- 2 t}

Graph

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