x((dy}{dx})-y=(\frac{x^3)/y)e^{y/x}

Lösung

x (\frac{d y}{d x}) - y = (\frac{x ^{3}}{y}) e^{\frac{y}{x}}

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

Schritte zur Lösung

x (\frac{d y}{d x}) - y = (\frac{x ^{3}}{y}) e^{\frac{y}{x}}

Solve using substitution:

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

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

x \to 0 lim (\frac{e ^{∣ x ∣} - 1}{x})

\frac{d y}{d t} = \frac{4 t}{k} - 0.1 y t

\int_{0}^{π} 8 sin^{4} (x) d x

d er i v a t i v e ln (sec (3 x) + tan (3 x))

\int 2 e^{- 2 x} sin (x) d x