# S7.

Solution:

The problem can be solved by applying Duhamel-theorem.
, or let’s apply the other formula:

The latter formula will be used in order to determine the output response:

Let’s execute the following integral .

Partial integral method will be used.

Let’s apply again the partial integral method.

Now the integral element can be expressed as follow:

The unknown integral element:

Completely same way can be written the other integral element:

After substituting both integral elements, the response will be the following!