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Beliebt Rechnen >

9y^{''}-12y^'+4y=0,y(0)=2,y^'(0)=-1

Lösung

9 y^{^{''}} - 12 y^{^{'}} + 4 y = 0, y (0) = 2, y^{^{'}} (0) = - 1

Lösung

y = 2 e^{\frac{2 t}{3}} - \frac{7 e ^{\frac{2 t}{3}} t}{3}

Schritte zur Lösung

9 y^{''} (t) - 12 y^{'} (t) + 4 y = 0

Solve linear ODE:

y = 2 e^{\frac{2 t}{3}} - \frac{7 e ^{\frac{2 t}{3}} t}{3}

y = 2 e^{\frac{2 t}{3}} - \frac{7 e ^{\frac{2 t}{3}} t}{3}

Graph

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