The left hand side is a product rule expansion of .
Now using the boundary condition
Therefore the solution is
I don't understand what the following question is asking - may I ask for someone to elaborate?:
"By considering the differential of z(x)=f(x)y(x), find the solution of the following differential equation:"
I've looked up solving differential equations, but most involve integration, which we have not touched on in lectures yet.
Or am I completely off track?
Thank you in advance for any feedback