Consider the differential equation where p(x) and q(x) are continuous functions...

Consider the differential equation

where p(x) and q(x) are continuous functions on some interval (a, b). Show that the change of variables u = ln y reduces Equation (1.8.24) to the linear differential equation

and hence show that the general solution to Equation (1.8.24) is

Where

and c is an arbitrary constant.