A solution of differential equation is a relation between the variables (independent and dependent), which is free of derivatives of any order and satisfies the differential equation identically.
Differential equation General solution (A) 2xy2dx=ex(dy−ydx) (P) 4x3y+6ex−3y3=cy(B) y(2x2y+ex)dx=(ex+y3)dy(Q) x+loge(x2+y2)=c(C) (x2+y2+2x)dx+2ydy=0(R) x2loge(x2y2)+y3=cx2(D) (2x2y−2y4)dx+(2x3+3xy3)dy=0(S) x2y+ex=cy
Here, c is an integration constant.
Which of the following is the CORRECT combination?