the_chemist
New member
- Joined
- May 21, 2007
- Messages
- 9
The question is this:
Classify in terms of order, degree, and linearity, and find the homogeneous solutions to...
y'' + 3y' + 2y = sin(2x)
My problem is this: I don't know how to even begin this problem. I thought maybe I could multiply through by some term of y...like say (1/y) so that I can have y on the right hand side to bring it over to the left but to be honest I don't know how to even think about this problem. I am presently taking an intro course to differentials and I can't seem to understand this problem. I've tried another problem that I thought was similar to this one but this one is more difficult and slightly different. What I would really appreciate is someone telling me how I should be approaching this problem in order to solve it because I have others like these that I would love to know how to do, lol. Also, perhaps I don't understand what a homogeneous solution is but I thought it was when there is a y or at least its derivative everywhere in the equation. What this means specifically, I'm not sure but I know I don't know how to make this equation or any like it homogeneous. LOL In any case, any help/advice anyone can offer me would be greatly appreciated! I am absolutely stumped!
Classify in terms of order, degree, and linearity, and find the homogeneous solutions to...
y'' + 3y' + 2y = sin(2x)
My problem is this: I don't know how to even begin this problem. I thought maybe I could multiply through by some term of y...like say (1/y) so that I can have y on the right hand side to bring it over to the left but to be honest I don't know how to even think about this problem. I am presently taking an intro course to differentials and I can't seem to understand this problem. I've tried another problem that I thought was similar to this one but this one is more difficult and slightly different. What I would really appreciate is someone telling me how I should be approaching this problem in order to solve it because I have others like these that I would love to know how to do, lol. Also, perhaps I don't understand what a homogeneous solution is but I thought it was when there is a y or at least its derivative everywhere in the equation. What this means specifically, I'm not sure but I know I don't know how to make this equation or any like it homogeneous. LOL In any case, any help/advice anyone can offer me would be greatly appreciated! I am absolutely stumped!