The general solution, y(t) satisfies the following second order differential equation ay"+ by'+ cy = 3 cos 2t where a, b and c are constants and a # 0. The y(t) depend on whether b 2 > 4ac, b 2 = 4ac or b 2 < 4ac. a. Construct TWO (2) different general solutions, y(t) and solve the models with initial conditions y(0) = 2 and y ' (0) = 0 by using undetermined coefficient method. Plot both general solutions y(t), for interval of 0 sts 5 and discuss the differences. [30 marks] b. Construct ONE (1) general solution, y(t) and solve the model with initial conditions y(0) = 2 and y' (0) = 0 by using Laplace Transform. [20 marks]