Question

Set up but do not solve for the appropriate particular solution yp for the differential equation

y''+16y=3xsin(4x)
using the Method of Undetermined Coefficients (primes indicate derivatives with respect to x).
In your answer, give undetermined coefficients as A, B, etc.

Answer 1

I also would like to know hot to solve this, I'm trying but can't get it.

Answer 2

ive been trying for the last 2 hours and cannot get it

Answer 3

for polynomial=Ax+B
for trignometric =Csin(4x)+Dcos(4x)
yp=(Ax+B)sin(4x)+(CX+D)cos(4x)
is more appropriate guess

Answer 4

well actually its been more than 2 hours! I got an answer but its wrong!

Answer 5

Thats wrong :(

Answer 6

@ranyai12 it is correct and works
yp=(Ax+B)cos(4x)+(CX+D)sin(4x) 100% correct

Answer 7

you can look at he following page from Paul online notes on Differential Equations

Answer 8

But when I put it into the answer slot for the online hw it shows as incorrect

Answer 9

i do not know why may be due to some error but m giving u surety it is correct .may be there answer is arranged somehow differently .

Answer 10

idk that problem is horrendous! im going to ask my professor about it tomorrow! Thanks for your help though!

Answer 11

I've also checked Paul online notes and missed that part, know I understand a little better that particular form of the right term,