Answer:
 (See attached graph)
 (See attached graph)
Step-by-step explanation:
To solve a second-order homogeneous differential equation, we need to substitute each term with the auxiliary equation  where the values of
 where the values of  are the roots:
 are the roots:

Since the values of  are equal real roots, then the general solution is
 are equal real roots, then the general solution is  .
.
Thus, the general solution for our given differential equation is  .
.
To account for both initial conditions, take the derivative of  , thus,
, thus, 
Now, we can create our system of equations given our initial conditions:


We then solve the system of equations, which becomes easy since we already know that  :
:

Thus, our final solution is:
