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Beliebt Rechnen >

x^2((dy)/(dx))+x(x+2)y=e^x

Lösung

x^{2} (\frac{d y}{d x}) + x (x + 2) y = e^{x}

Lösung

y = \frac{e ^{x}}{2 x ^{2}} + \frac{c _{1}}{e ^{x} x ^{2}}

Schritte zur Lösung

x^{2} (\frac{d y}{d x}) + x (x + 2) y = e^{x}

Solve linear ODE:

y = \frac{e ^{x}}{2 x ^{2}} + \frac{c _{1}}{e ^{x} x ^{2}}

y = \frac{e ^{x}}{2 x ^{2}} + \frac{c _{1}}{e ^{x} x ^{2}}

Graph

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