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Beliebt Rechnen >

y^{''}-2y^'-3y=9t^2

Lösung

y^{^{''}} - 2 y^{^{'}} - 3 y = 9 t^{2}

Lösung

y = c_{1} e^{3 t} + c_{2} e^{- t} - 3 t^{2} + 4 t - \frac{14}{3}

Schritte zur Lösung

y^{''} (t) - 2 y^{'} (t) - 3 y = 9 t^{2}

Solve linear ODE:

y = c_{1} e^{3 t} + c_{2} e^{- t} - 3 t^{2} + 4 t - \frac{14}{3}

y = c_{1} e^{3 t} + c_{2} e^{- t} - 3 t^{2} + 4 t - \frac{14}{3}

Graph

Beliebte Beispiele

y^{''}-3y^'-40y=(t+1)e^t

y^{^{''}} - 3 y^{^{'}} - 40 y = (t + 1) e^{t}

2y^{''}+5y^'+2y=xe^{-x}

2 y^{^{''}} + 5 y^{^{'}} + 2 y = x e^{- x}

y^{''}+0.7y+4=cos(3t)

y^{^{''}} + 0.7 y + 4 = cos (3 t)

y^{''}-4y^'+3y=e^{2t}

y^{^{''}} - 4 y^{^{'}} + 3 y = e^{2 t}

1y^{''}+5y^'+1/(1/6)y=2e^{2t}

1 y^{^{''}} + 5 y^{^{'}} + \frac{1}{\frac{1}{6}} y = 2 e^{2 t}