Solve one of the following two non-homogeneous differential equations using whatever technique your prefer. put an "x" through the equation you would not like me to grade. if you do not technique you prefer. put an "x" through the equation you would not like me to grade. if you do not put an "x" through one of the equations, i will grade whichever problem i prefer to grade. a) y" - 4y + 4y = 6xe^2x b) y" + 9y = 5 cos x - 7 sin x

a.

b

Step-by-step explanation:

1.

Auxillary equation

D=2,2

Then complementary solution =

Particular solution

D is replace by D+2 then we get

P.I=

P.I=

where V is a function of x

P.I=

By integrating two times

Hence, the general solution

b.y''+9y=5 cos x-7 sin x

Auxillary equation

D=

P.I=

P.I=

Then  D square is replace by -a square

is replace by - then we get

P.I=-5 cos x+7 sin x

The general solution

(x, y)→(x − 8, y − 7)

step-by-step explanation:

enjoy!