Posted by queros on .
find the general solution to the following differential equation dy/dx=(In(x))/(x^2)*y^1/2 (x>0,(y>0)give answer in implicit form.

mathematics 
drwls,
Use separation of variables. I don't know if the y^(1/2) is supposed to be in the denominator or not. Let's supposed it is not. Then
dy/dx= [(ln(x))/(x^2)]*y^1/2
y(1/2) dy = ln(x)/x^2 dx
Integrate both sides separately, and add a constant.