Use Laplace transforms $to$ solve the following differential equations:

$y^{\text{'}\text{'}}-8y^{\text{'}}+12y=0$

with $y(0)=-8$ and $y^{\text{'}}(0)=4.$

$(a)$ Find a general solution $to$ the differential equation. Explain the method that you

used.

$(b)$ Describe a different method that you learned $in$ this course that you could have

used $to$ solve this problem.