Posted by mike on Friday, March 18, 2011 at 8:35pm.
Please check that you have sufficient parentheses.
The problem posted (implicitly) is
dy/dx = x+ (1/xy) which is not easily separable.
I assume you wished to post:
dy/dx = (x+1)/xy
which can be separated as:
ydy = (x+1)dx/x = (1+1/x)dx
which can be easily integrated on both sides. The constant of integration can be obtained by substitution of the initial condition y(1)=-4.
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