What is the solution for (dy)/(dx)=(xy+x^2e^{y/x})/(x^2) ?

The solution for (dy)/(dx)=(xy+x^2e^{y/x})/(x^2) is y=-xln(-ln(x)-c_{1})

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

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

y = - x ln (- ln (x) - c_{1})

Solution steps

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

Solve using substitution:

y = - x ln (- ln (x) - c_{1})

y = - x ln (- ln (x) - c_{1})

\int - 20

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

y = 9 x, y = \frac{8}{3} x, y = 52 - x^{2}

x^{2} y^{^{'}} = y - x y, y (- 1) = - 1

\int x (x - 1)^{2} d x

What is the solution for (dy)/(dx)=(xy+x^2e^{y/x})/(x^2) ?
The solution for (dy)/(dx)=(xy+x^2e^{y/x})/(x^2) is y=-xln(-ln(x)-c_{1})