Answer:
1)
2)
So then the model would be given by:
Step-by-step explanation:
For this case we have the following differential equation:
We can do this using algebra:
Part 1
And now we can integrate both sides like this:
We can use the u substituton for the left part
We can multiply both sides by 4 and we got:
, where
and after integrate the left part we got:
And if we apply exponential on both sides we got:
Now we can replace u and we got:
where
And then finally we have:
Part 2
For this case we have the initial condition y(0) =5 and if we use it we got:
So then the model would be given by: