The equation given can be solved using seperation of variables, you can write it as
the integral on the LHS is trivial and can you see how to apply your answer to the first part to the RHS?
Hi
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?
Unfortunately not, no, but you're not too far off. You made two errors; one when finding the derivative of h(x), and another when trying to integrate the function of y.
This appears to be where you goofed:
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.
The above is fine, but to a beginner it may help to convert the square root to a fraction root:
Can you take it from there?