I presume you mean Q. 2 (c)?

Verify that is a solution of the differential equation

Also calculate the values of and at .

First of all we didn’t learn how to solve such a differential equation… but this question doesn’t ask us to solve it. It gives us the solution and asks us to show that it is true (verify) that it is indeed a solution.

We first calculate the left-hand-side. To differentiate we will need the product rule:

,

.

Now we have

,

which is the right-hand-side as required.

Now we evaluate and at .

.

Also

Regards,

J.P.