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Beliebt Rechnen >

(D^2+D-2)y=2x-40cos(2x)

Lösung

(D^{2} + D - 2) y = 2 x - 40 cos (2 x)

Lösung

y = c_{1} e^{x} + c_{2} e^{- 2 x} - x - \frac{1}{2} - 2 sin (2 x) + 6 cos (2 x)

Schritte zur Lösung

(D^{2} + D - 2) y = 2 x - 40 cos (2 x)

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- 2 x} - x - \frac{1}{2} - 2 sin (2 x) + 6 cos (2 x)

y = c_{1} e^{x} + c_{2} e^{- 2 x} - x - \frac{1}{2} - 2 sin (2 x) + 6 cos (2 x)

Graph

Beliebte Beispiele

y^{''''}+16y^{''}=sin(4t)+te^{5t}+4

y^{^{''''}} + 16 y^{^{''}} = sin (4 t) + t e^{5 t} + 4

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

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

y^{''}+4y=7sec(2x)

y^{^{''}} + 4 y = 7 sec (2 x)

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

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

y^{''}+16y=t^2+1,y(0)=0,y^'(0)=1

y^{^{''}} + 16 y = t^{2} + 1, y (0) = 0, y^{^{'}} (0) = 1