How to solve this differential equation:
$$x\frac{dy}{dx} = y + x\frac{e^x}{e^y}?$$
I tried to rearrange the equation to the form $f\left(\frac{y}{x}\right)$ but I couldn't thus I couldn't use $v = \frac{y}{x}$ to solve it.
How to solve this differential equation:
$$x\frac{dy}{dx} = y + x\frac{e^x}{e^y}?$$
I tried to rearrange the equation to the form $f\left(\frac{y}{x}\right)$ but I couldn't thus I couldn't use $v = \frac{y}{x}$ to solve it.