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Beliebt Rechnen >

9y^{''}-12y^'+4y=0,y(0)=2,y^'(0)=3

Lösung

9 y^{^{''}} - 12 y^{^{'}} + 4 y = 0, y (0) = 2, y^{^{'}} (0) = 3

Lösung

y = 2 e^{\frac{2 t}{3}} + \frac{5 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{5 e ^{\frac{2 t}{3}} t}{3}

y = 2 e^{\frac{2 t}{3}} + \frac{5 e ^{\frac{2 t}{3}} t}{3}

Graph

Beliebte Beispiele

y^{''}-8y^'-33y=0,y(0)=0,y^'(0)=-7

y^{^{''}} - 8 y^{^{'}} - 33 y = 0, y (0) = 0, y^{^{'}} (0) = - 7

linear y^{''}+y=0

l in e a r y^{^{''}} + y = 0

3y^{'''}+10y^{''}+15y^'+4y=0

3 y^{^{'''}} + 10 y^{^{''}} + 15 y^{^{'}} + 4 y = 0

y^{^{''''}} = 16 y

y^{'''}+y^{''}-32y^'-60y=0

y^{^{'''}} + y^{^{''}} - 32 y^{^{'}} - 60 y = 0