\f2. Solve the following 2M order equation, using the method of Laplace transform {6 points): 3'" + :34? = 0310) = 11.y'(0) = 56 3. Set up, and solve, a 1" order differential equation for the following situation: The time rate of change of an alligator population P in a swamp is directly proportional to the square of P. The swamp contained 1 dozen alligators in 2008 and 2 dozen alligators in 2018. In whatyear will there be 4 dozen alligators in the swamp {6 points)