Hi, I could use some help on this polynomial operator question.

(1 point) Given the system of equations (D + 5)x +D3y = tsin(t) , 03x + (D + 2)y = sine) , (a) Write the system as a differential equation for x, in operator form, by filling the polynomial operator in D (on the left-handside of the equation) and the corresponding right-handside of the equation: x: (Write your expression for the right-handside as a function of t onIy-that is, with no derivative operators.) (b) Note that we could equally well solve for y. Do this here, obtaining an equivalent differential equation for y. y = (Write your expression for the right-handside as a function of t onIy-that is, with no derivative operators.)