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

Lösung

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

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

Schritte zur Lösung

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

Solve using substitution:

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

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

x \to 2 lim (x^{2} - 4 x + 4)

y^{^{''}} + 10 y^{^{'}} + 25 y = 0, y (1) = 0, y^{^{'}} (1) = 1

x \to 1 lim (- 1.6 x + 0.6)

\int \frac{1}{x ln ( 3 x )} d x

\frac{d}{d x} (\frac{ln ( x ) + 1}{ln ( x ) - 1})