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Beliebt Rechnen >

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

Lösung

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

Lösung

x = e^{\frac{2 t}{3}} - \frac{5 e ^{\frac{2 t}{3}} t}{3}

Schritte zur Lösung

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

Solve linear ODE:

x = e^{\frac{2 t}{3}} - \frac{5 e ^{\frac{2 t}{3}} t}{3}

x = e^{\frac{2 t}{3}} - \frac{5 e ^{\frac{2 t}{3}} t}{3}

Graph

Beliebte Beispiele

y^{''}+y=0,y^'=5,y(0)=9

y^{^{''}} + y = 0, y^{^{'}} = 5, y (0) = 9

y^{^{''}} = 7 y^{^{'}} + 4 y

y^{^{''}} + 96 y = 0

2y^{''}+3y^'+5y=0

2 y^{^{''}} + 3 y^{^{'}} + 5 y = 0

y^{''}+y^'+5/4 y=0,y(0)=0,y^'(0)=0

y^{^{''}} + y^{^{'}} + \frac{5}{4} y = 0, y (0) = 0, y^{^{'}} (0) = 0