Question

solve differential equation -1/x*(cos^2)*ydy+ -1/y(cos^2)xdx=0​

Answer 1

Answer:

Given differential equation is [y - x cos(y/x)]dy + [y cos(y/x) - 2x sin(y/x)]dx = 0 [divide numerator and denominator by x] which is a homogeneous differential equation as dy/dx = F(y/x) On integrating both sides, we get