Question

Find the general solution
(D-1)D(D+3)y=2t
Where D=(d/dt) is the differential operator? NEED HELP Instructor only used 2x2 systems in class then puts this on assignment. I am lost

Answer 1

this is the same as
y''' + 2y'' -3y' = 2t

you must find the solution to the homogenous equation
y''' + 2y'' -3y' = 0
(of course, the characteristic equation is m(m-1)(m+3)=0 )
and add the particular solution

Answer 2

I just figured it out Final equ. =c1e^(-3t)+c2+c3e^t-((t^2)/3))-(4t)/9)