how to find the "Natural and Total Response" of the system Hello there I am a Student.

I need to know how to find the Natural and Total Response of the given system: 




where: $x(t)=e^{-t}u(t)$ and $y(0^+)=2, \dfrac{d}{dt}y(0^+)=3$. (If the image above is not clear) 

This is for my exam preparation, please kindly help or at least specify where
I can find the solution for this question, and  best tutorial for signal and system.
I'll assume you do do what a Laplace transform really is!

All you have to do, is just compute the la place inverse for each part to get the result you want.
If you want the natural response only, just find the inverse Laplace transform of the noted part. If you want the total response just take the inverse Laplace transform for the whole factor.