I was given a problem, it has been worded as follows: Use the substitution to transform the differential equation , into a linear equation. Hence obtain the general solution of the original equation.
After a whole page of workings, I arrive at this
Technically, this is a linear equation since it takes the form y'+p(x)y=f(x) . Since z=f(y,x). However, I'm unable to compute this, since I won't know how to integrate z with respect to x. I do know this can easily be done by separating variables, however, we are basically told to solve it this way.