Mathematics Part-II

Book: Mathematics Part-II

Chapter: 9. Differential Equations

Subject: Maths - Class 12th

Q. No. 18 of Miscellaneous Exercise

Listen NCERT Audio Books - Kitabein Ab Bolengi

18

The general solution of the differential equation ex dy + (y ex + 2x) dx = 0 is

It is given that exdy + (yex + 2x) dx = 0




This is equation in the form of (where, p = 1 and Q = -2xe-x)


Now, I.F. =


Thus, the solution of the given differential equation is given by the relation:


y(I.F.) =




yex = -x2 + C


yex + x2 = C

18

Chapter Exercises

More Exercise Questions