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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

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