y''+4y'+3y=0 the initial condition are y(0)=0 and y'(0)=2
Set \(y=Ae^{u\times x}\) and plug this into the ODE. You shoud get two values for u, so your solution can be written as
\(y=Ae^{u_1 \times x}+Be^{u_2 \times x}\)
Use your boundary conditions to find A and B.