(10 pt) Solve the following initial value problem by Laplace Transform. (If you solve with another method you will NOT get credit.) $$ t \frac{d^{2} y}{d t^{2}}-(t+1) \frac{d y}{d t}+y=0, \quad y(0)=2, \quad y^{\prime} (0)=0 $$ CS.VS. 1424