Hi, I am having trouble trying to figure out the last part. Given the initial conditions, I need to find a solution to the equation.

Problem:

Consider the differential equation

(where primes indicate derivatives with respect tox). Find a particular solution to the differential equation having the form

using the method of Variation of Parameters. In this,(Note that this asks for and ,notand !)

e^(-4x)

e^(3x)

-1

e^(-7x)

I am find upto this point.

TROUBLE WITH THE FOLLOWING PART:

Then use your solution to find a solution to the differential equation that satisfies the initial conditions , .

This is where I am stuck. The solution is not right...

Please help me out,

Thanks