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Beliebt Rechnen >

e^{2x}y^'+2e^{2x}y=2x

Lösung

e^{2 x} y^{^{'}} + 2 e^{2 x} y = 2 x

Lösung

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

Schritte zur Lösung

e^{2 x} y^{'} (x) + 2 e^{2 x} y = 2 x

Solve linear ODE:

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

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

Graph

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