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Beliebt Rechnen >

y^{''}-8y^'+9y=xe^x

Lösung

y^{^{''}} - 8 y^{^{'}} + 9 y = x e^{x}

Lösung

y = c_{1} e^{(4 + 7) x} + c_{2} e^{(4 - 7) x} + \frac{e ^{x} x}{2} + \frac{3}{2} e^{x}

Schritte zur Lösung

y^{''} (x) - 8 y^{'} (x) + 9 y = x e^{x}

Solve linear ODE:

y = c_{1} e^{(4 + 7) x} + c_{2} e^{(4 - 7) x} + \frac{e ^{x} x}{2} + \frac{3}{2} e^{x}

y = c_{1} e^{(4 + 7) x} + c_{2} e^{(4 - 7) x} + \frac{e ^{x} x}{2} + \frac{3}{2} e^{x}

Graph

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