Thus,Originally Posted by Natasha1
You cannot use because you get a negative in the radical, which brings non-real numbers.
I am asked to find the general solution, using the method of separating the variables of the following DE
dy/dx = (2xcos x)/y where y > 0
Using the method of seperating the variables I get:
int y.dy = int 2xcosx dx
which basically comes to (after a little working)
= 2 (cos x + xsinx)
but where do I go from here to get an integration constant?
2) If y = 2 when x = 0, find y in terms of x
Could someone help me on this one
3) Explain why your answer may not be used for x=pi. Comment in relation to the solution curve through (0,2).