How can I solve the differential equation $(5y−2x)\dfrac {dy}{dx}−2y=0$ with Exact differential method?

Question

I can solve this differential equation with Homogeneous differential method but this equation also can be solved with exact method. How can i solve this equation with exact differential method?

$$(5y−2x)\dfrac {dy}{dx}−2y=0$$

Answer 1

$$(5y−2x)\dfrac {dy}{dx}−2y=0$$ $$(5y−2x) {dy}−2ydx=0$$ Rearrange terms: $$-2(xdy+ydx)+5ydy=0$$ $$-2d(xy)+5ydy=0$$ Integrate. $$5y^2-4xy=C$$