(a) Consider a forced oscillator with response y(t) satisfying State with reasoning (but before solving), whether or not you expect this system to exhibit pure resonance. (b) Find the general solution of (1). (c) Find the solution of (1) if the system is initially at rest undisplaced , i.e. y(0) = y?(0) = y(0)=0. (d) Give Mathematica commands, about 5 lines, to find the solution y(t) of the IVP comprising (1),(ICI,2). and to plot y(t) for 0 < = t < = e^2.