 #1
 112
 18
Homework Statement:

Find the general solution of:
xy' + sin(2y) = x^3*sin^2(y)
Relevant Equations:
 All math.
This equation, is non linear, nonseparable, and weird. I would like to have a direction to start working on this.
I tried writing sin(2y) = 2sin(y)*cos(y).
See,
##xy' = x^3sin^2(y)2sin(y)cos(y)##
Can't separate.
Writing in this way:
##(x^3sin^2ysin2y)dxxdy=0##
Also, I checked that it is not exact.
So, what next should I try?
I tried writing sin(2y) = 2sin(y)*cos(y).
See,
##xy' = x^3sin^2(y)2sin(y)cos(y)##
Can't separate.
Writing in this way:
##(x^3sin^2ysin2y)dxxdy=0##
Also, I checked that it is not exact.
So, what next should I try?