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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{x} + c_{2} x e^{x} + x^{2} + 4 x + 4 + sin (x)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{x} + c_{2} x e^{x} + x^{2} + 4 x + 4 + sin (x)

y = c_{1} e^{x} + c_{2} x e^{x} + x^{2} + 4 x + 4 + sin (x)

Graph

Beliebte Beispiele

31y^{''}+800y=100cos(4t),y(0)=0,y^'(0)=0

31 y^{^{''}} + 800 y = 100 cos (4 t), y (0) = 0, y^{^{'}} (0) = 0

x^{''''}+2x^{''}+x=4te^t

x^{^{''''}} + 2 x^{^{''}} + x = 4 t e^{t}

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

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

2y^{''}-7y^'+3y=4x^2

2 y^{^{''}} - 7 y^{^{'}} + 3 y = 4 x^{2}

y^{''}+3y^'+2y=(1+e^{2x})^{-1}

y^{^{''}} + 3 y^{^{'}} + 2 y = (1 + e^{2 x})^{- 1}