Question $2$

Solve the given differential equation by using Laplace Transforms. The function is subject to the given condition$/$conditions $($boundary$/$initial condition$/$conditions$)y^{\text{'}\text{'}}-4y=10e^{(3t)},$ initial conditions: $y(0)=5,y^{\text{'}}(0)=0$

$y=3e^{(-2t)}2e^{(3t)}$

$y=3e^{(-2t)}3e^{(3t)}$

$y=2e^{(-2t)}2e^{(3t)}$

$y=3e^{(2t)}2e^{(-3t)}$