Answer:
a)
b)
Step-by-step explanation:
Part a
For this case we have the following differential equation:
If we square both sides we got:
And we have two possible solutions for this system
So then that represent the constant solutions for the differential equation.
So then the solution for this case is :
Part b: Solve the differential equation in part (a)
For this case we can rewrite the differential equation like this:
And reordering we have this:
Integrating both sides we got:
Using CAS for the left part we got:
We can multiply both sides by -1 we got:
And we can apply tanh in both sides and we got:
By properties of tanh we can rewrite the last expression like this:
We can square both sides and we got:
And solving for W we got:
And that would be our solution for the differential equation