Match the following guess solutions yp for the method of undetermined coefficients with the second-order nonhomogeneous linear equations below. A. yp(x)=Ax2+Bx+C, B. yp(x)=Ae2x, C. yp(x)=Acos2x+Bsin2x, D. yp(x)=(Ax+B)cos2x+(Cx+D)sin2x E. yp(x)=Axe2x, and F. yp(x)=e3x(Acos2x+Bsin2x)

Step-by-step explanation:

For each of the yp(x) we can deduce the characteristic polynomial of the differential equation

A.

B.

C.

D.

hope this helps!!

d? maybe

step-by-step explanation:

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional