We will solve this 2 ways:

1. Solving in q.

2. Using Scientific Notebook.

[We cannot use the formulae and , since the voltage source is not constant.]

From the formula: , we obtain:

Since , , and , we have:

Now, we can solve this differential equation in q using the linear DE process as follows:

IF =

Then we use the integration formula (found in a standard integral table):

We obtain:

So, dividing throughout by gives:

We now need to find :

means

So this gives us:

Method Using Scientific Notebook

We set up the differential equation and the initial conditions in a matrix (not a table) as follows:

Choosing Solve ODE - Exact from the Maple menu gives:

Exact solution is:

The graph for :

We are also asked to find the current. We simply differentiate the expression for q:

The graph for i(t):