Find the particular solution of given differential equation : (3xy+y^2)dx + (x^2+xy)dy = 0 
 At x=1 , y=1 .

Asked by Deepak Singh | 4th Jan, 2016, 11:28: PM

Expert Answer:

 
Substituting x = 1 and y = 1, we get
(1)2(1)[1 + 2(1)] = c
1(1 + 2) = c
1(3) = c
c =3
Thus, the required particular solution is
x2y(y + 2x) = 3

Answered by Rashmi Khot | 5th Jan, 2016, 11:18: AM