Use separation of variables

Question

Use separation of variables to solve the initial value problem. Indicate the domain over which the solution is valid.

dy/dx = (4√y ln x) / x and y = 1 where x = e .

Thank you!

Answer 1

The integral of ln(x)/x is (1/2) [ln(x)]²

This leads quickly to sqrt(y) = [ ln(x) ]²

It appears that the domain is x > 0