I am familiar with first-order differential equations and how to solve them, but only for the case when there is a single unknown function.
For the following case there are two unknown functions and I'm struggling to determine where to even begin. The two equations:
Where f and g are functions of the variable t, and A & B are constants. The initial conditions are: and .
I already have knowledge of the answer for f(t), which is:
I would really like to understand how to tackle questions of this type: where there are two unknown functions. I would attempt to show my working out but I don't know where to start.
Therefore, I would like to ask if anyone could please provide a hint or suggestion for me, something which I can work off. If necessary, I will update my post with original working. Thank you for your time.