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Beliebt Rechnen >

(x-1)y^'+xy=6e^x

Lösung

(x - 1) y^{^{'}} + x y = 6 e^{x}

Lösung

y = \frac{3 e ^{x}}{x - 1} + \frac{c _{1}}{e ^{x - 1 + c_{1}} x - e ^{x - 1 + c_{1}}}

Schritte zur Lösung

(x - 1) y^{'} (x) + x y = 6 e^{x}

Solve linear ODE:

y = \frac{3 e ^{x}}{x - 1} + \frac{c _{1}}{e ^{x - 1 + c_{1}} x - e ^{x - 1 + c_{1}}}

y = \frac{3 e ^{x}}{x - 1} + \frac{c _{1}}{e ^{x - 1 + c_{1}} x - e ^{x - 1 + c_{1}}}

Graph

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