I have this equation:
$$x(dx-dy) + y(dx+dy) = 0 $$
I tried to solve it by turning it to fraction-type:
$$\frac{dy}{dx} = \frac{x+y}{x-y}$$
However, I realized that it's not homogeneous, and now I am stuck.
Please help!
2026-03-29 13:21:43.1774790503
First-order non-linear differential equation
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It is also of interest to solve it in polar coordinates :