+2xy=2e−x2 This is a linear differential equation in y Here, P=2x,Q=2e−x2 ∴‌ I.F. ‌=e∫P‌dx=e∫2x‌dx=ex2 ∴ Complete solution is yex2‌=2‌∫e−x2ex2‌dx+c ⇒‌‌yex2‌=2x+c II. yex2−2x=c On differentiating w.r.t x, we get yex2⋅2x+ex2‌