a)Find the general solution of the second order differential equation

4y′′ + 8y′ + 3y = 0 .

Find the particular solution that satisfies the initial conditions y(0) = 2 and y′(0) = 1/2.

I got the general solution to be:

y(x) = (c^(A))e^((-3/2)x)+(c^(B))e^((-1/2)x)

and by intitial condiotion I got the particular solution to be:

y(x) = (-3/2)e^((-3/2)x)+(7/2)e^((-1/2)x)

Are my answers right... help would be appreciated thank you (Happy)