Question

particular solution?

y''-2y'+2y = 5xsin(x)

I dont know how to solve the particular solution...
yp = (aX+b)cosx + (bX+d)sinx
could some one please write it out for me?

Answer 1

Take this form, where a,b,c,d are constants

yp = (ax+b)cosx + (cx+d)sinx

substitute it into the differential equation, and you'll find a number of simultaneous equations in a,b,c,d. Then solve them.

Answer 2

I'll tell you that each of a,b,c,d are non-zero.

Answer 3

hii james,

thanks for the tip... and i got my final answer.. and dammm that was a lot of writing >.<

hahah