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Beliebt Rechnen >

1/4 y^{''}+y^'+y=x^2-2x

Lösung

\frac{1}{4} y^{^{''}} + y^{^{'}} + y = x^{2} - 2 x

Lösung

y = c_{1} e^{- 2 x} + c_{2} x e^{- 2 x} + x^{2} - 4 x + \frac{7}{2}

Schritte zur Lösung

\frac{1}{4} y^{''} (x) + y^{'} (x) + y = x^{2} - 2 x

Solve linear ODE:

y = c_{1} e^{- 2 x} + c_{2} x e^{- 2 x} + x^{2} - 4 x + \frac{7}{2}

y = c_{1} e^{- 2 x} + c_{2} x e^{- 2 x} + x^{2} - 4 x + \frac{7}{2}

Graph

Beliebte Beispiele

(dy)/(dx)=-10x^4y

limit as x approaches 0+of cos^x(pi/2-x)

integral of 5cos(2x)

y^{''}+4y^'+4=0,y^'(0)=1

fläche f(x)=cos(x),-pi/2 , pi/2