Question

y''+y'-2=2t
find the general solution of the nonhomogenous differential equation

Answer 1

-2? or -2y?

Answer 2

the homogenous part will be drastic enough; but the particuylar is pretty basic

you have a linear so decipher it with: yp = At+b

Answer 3

2t

Answer 4

oh its -2y

Answer 5

my bad

Answer 6

im going to forgo the capital stuff, its hard enough for me to keep track of the lowercases :)

yp = at+b
yp' = a
yp'' =0

yp''+ yp'-2yp = 2t

Answer 7

a -2at-2b = 2t


-2a = 2 ; a = -1

a-2b = 0
-1 -2b - 0 ; b=-1

Answer 8

y = yh -t-1

Answer 9

thanks