Question

solve the differential equation:
x dy/dx + y=√(x^2-y^2)​

Answer 1

x(dy/dx) - y = √(x2 + y2) dy/dx = (√(x2 + y2) + y)/x It is a homogenous equation Now put y = vx and dy/dx = v + x(dv/dx) We get, On integration, Read more on Sarthaks.com - https://www.sarthaks.com/871704/solve-x-dy-dx-y-x-2-y-2-homogeneous-differential-equations