I think I've managed to work out the first part of a question which is
Use the Quotient Rule to differentiate the function h(x) = (1 + ln(x))/x (x>0)
I get the answer ln(x)/x^2.
Now the second part of the question is
Using your answer to the first part, find the general solution of the differential equation
dy/dx = -(ln(x)/x^2)y^1/2 (x > 0, y > 0) giving the answer in implicit form.
Can you help?