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Beliebt Rechnen >

(D^2-2D+1)y=xsin(x)

Lösung

(D^{2} - 2 D + 1) y = x sin (x)

Lösung

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

Schritte zur Lösung

(D^{2} - 2 D + 1) y = x sin (x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+4y=sin(5t),y(0)=0,y^'(0)=0

y^{^{''}} + 4 y = sin (5 t), y (0) = 0, y^{^{'}} (0) = 0

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

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

y^{''}+3y^'-10y=3e^{-5x}

y^{^{''}} + 3 y^{^{'}} - 10 y = 3 e^{- 5 x}

y^{''}+10y^'+25y=(2+6x)e^{-5x}

y^{^{''}} + 10 y^{^{'}} + 25 y = (2 + 6 x) e^{- 5 x}

y^{''}+2y^'-y=-4

y^{^{''}} + 2 y^{^{'}} - y = - 4