Question

# Hi, I could use some help on this polynomial operator question.(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-hand—side of the equation)and the corresponding right-hand—side of the equation: x: (Write your expression for the right-hand—side 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-hand—side as a function of t onIy——-that is, with no derivative operators.)

(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-hand—side of the equation)
and the corresponding right-hand—side of the equation: x: (Write your expression for the right-hand—side 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-hand—side as a function of t onIy——-that is, with no derivative operators.)
Math