Find a synchronous solution of the form Acos(Ωt)+Bsin(Ωt)Acos⁡(Ωt)+Bsin⁡(Ωt ) to the given forced oscillator equation using the method of ​insertion, collecting​ terms, and matching coefficients to solve for A and B. y′′+3y′+2y=6sin(3t),Ω=3y″+3y′+2y=6s in⁡(3t),Ω=3 A solution is y(t)=y(t)= a. −2765cos(3t)+2165sin(3t)−2765cos⁡(3 t)+2165sin⁡(3t) b. −2765cos(3t)−2165sin(3t)−2765cos⁡(3 t)−2165sin⁡(3t) c. 2765cos(3t)−2165sin(3t)2765cos⁡(3t) −2165sin⁡(3t) d. 2165cos(3t)−2765sin(3t)2165cos⁡(3t) −2765sin⁡(3t) (enter a, b, c, or d)