What is the solution for (1 y/x e^{y/x})dx+e^{y/x}dy=0 ?

The solution for (1 y/x e^{y/x})dx+e^{y/x}dy=0 is y=(c_{1})/x

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(1 y/x e^{y/x})dx+e^{y/x}dy=0

(1 \frac{y}{x} e^{\frac{y}{x}}) d x + e^{\frac{y}{x}} d y = 0

y = \frac{c _{1}}{x}

Solution steps

(1 \frac{y}{x} e^{\frac{y}{x}}) d x + e^{\frac{y}{x}} d y = 0

Solve separable ODE:

y = \frac{c _{1}}{x}

y = \frac{c _{1}}{x}

What is the solution for (1 y/x e^{y/x})dx+e^{y/x}dy=0 ?
The solution for (1 y/x e^{y/x})dx+e^{y/x}dy=0 is y=(c_{1})/x