Question

test for exactness ydx-xdy/x^2=0 and solve​

Answer 1

We know that d(x2 + y2) = 2(xdx + ydy) Therefore, the equation becomes 1/2d(x2 + y2) + dtan-1(y/x) = 0 (exact equation) On integrating, we get Therefore, y = xtan((c - x2 - y2)/Read more on Sarthaks.com - https://www.sarthaks.com/563751/solve-the-differential-equation-xdx-ydy-xdy-ydx-x-2-y-2-0