I'm trying to solve analytically the following simple first order differential equation:
for and being constants. In principle, this differential equation is linear, right? However, the only thing I could think at the moment is to try to write it differently to approximate to the following expression:
that has a general solution of the form:
For that, what I did so far:
1. Reorganize the formula by multiplying everything by :
2. Group the terms involving the unknown:
3. Reorganizing we can write as:
4. Dividing by
This gives me , and which are constants, and not functions.
Is this the right way to proceed or should I try another method?
Thanks for your help