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Beliebt Rechnen >

y^{''}+3y^'-4y=-32t^2

Lösung

y^{^{''}} + 3 y^{^{'}} - 4 y = - 32 t^{2}

Lösung

y = c_{1} e^{t} + c_{2} e^{- 4 t} + 8 t^{2} + 12 t + 13

Schritte zur Lösung

y^{''} (t) + 3 y^{'} (t) - 4 y = - 32 t^{2}

Solve linear ODE:

y = c_{1} e^{t} + c_{2} e^{- 4 t} + 8 t^{2} + 12 t + 13

y = c_{1} e^{t} + c_{2} e^{- 4 t} + 8 t^{2} + 12 t + 13

Graph

Beliebte Beispiele

y^{''}+y^'=(2t)

y^{^{''}} + y^{^{'}} = (2 t)

y^{''}+3y+2=0,y(2)=-1,y^'(0)=0

y^{^{''}} + 3 y + 2 = 0, y (2) = - 1, y^{^{'}} (0) = 0

y^{''}-2y^'+2y=e-t,y(0)=0,y^'(0)=1

y^{^{''}} - 2 y^{^{'}} + 2 y = e - t, y (0) = 0, y^{^{'}} (0) = 1

y^{''}-2y-3y=-3xe^{-x}

y^{^{''}} - 2 y - 3 y = - 3 x e^{- x}

y^{''}+6y^'+8y=t\H(t-3)

y^{^{''}} + 6 y^{^{'}} + 8 y = t H (t - 3)