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Beliebt Rechnen >

y^'=(xe^y)/y

Lösung

y^{^{'}} = \frac{x e ^{y}}{y}

Lösung

y = - W (\frac{x ^{2} + c _{1}}{2 e}) - 1

Schritte zur Lösung

y^{'} (x) = \frac{x e ^{y}}{y}

Solve separable ODE:

y = - W (\frac{x ^{2} + c _{1}}{2 e}) - 1

y = - W (\frac{x ^{2} + c _{1}}{2 e}) - 1

Beliebte Beispiele

t^2y^{''}-4ty^'+6y=0

t^{2} y^{^{''}} - 4 t y^{^{'}} + 6 y = 0

limit as x approaches 0 of (2x)/(2x^2)

x \to 0 lim (\frac{2 x}{2 x ^{2}})

integral from 3 to 5 of e^{6x}

\int_{3}^{5} e^{6 x} d x

derivative f(x)=sqrt(3-2x)

d er i v a t i v e f (x) = 3 - 2 x

integral of (x^4+1)/(x^2+1)

\int \frac{x ^{4} + 1}{x ^{2} + 1} d x