Answer :

(x2 – y2) dx + 2xydy = 0



As this is a homogeneous differential equation thus,


Put





Integrating both sides, we get,



log x = –log (1 + v2) + log c


x (1 + v2) = c



x2 + y2 = cx


OR


Given:


• At x = 1, y = 0




This is in the form of first order linear differential equation hence,



Therefore, solution is


At




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