(D^2-D-2)y=6x+6e^{-x}

Lösung

(D^{2} - D - 2) y = 6 x + 6 e^{- x}

y = c_{1} e^{2 x} + c_{2} e^{- x} - 3 x + \frac{3}{2} - 2 x e^{- x}

Schritte zur Lösung

(D^{2} - D - 2) y = 6 x + 6 e^{- x}

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{- x} - 3 x + \frac{3}{2} - 2 x e^{- x}

y = c_{1} e^{2 x} + c_{2} e^{- x} - 3 x + \frac{3}{2} - 2 x e^{- x}

2 y^{^{''}} - 3 y^{^{'}} - 2 y = 14 t^{2} - 4 t - 11

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

4 y^{^{''}} + y = 4 cos (x)

y^{^{''}} + 2 y^{^{'}} + 2 y = e^{x} sin (x)

y^{^{''}} - 4 y^{^{'}} = 4 x