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1. Coupled oscillators and normal modes question

Homework Statement Two equal masses are held on a frictionless track by 3 equal springs, attached to two rigid posts. If either of the masses is clamped, the period (t=2pi/w) of one oscillation is three seconds. If both masses are free, what is the periods of oscillation of both normal...
2. Method of undetermined coefficients problem

ok, thanks, ill try that
3. Method of undetermined coefficients problem

I have the problem "Find the particular solution of 4y''+4y'+y=3xex. What would be the assumed function y? Like would it be Ax ex?
4. Question about series and sequences

The divergence test says that if the limit of a function is not 0, then it diverges. And the limit is 3/2, which is not 0, so it diverges..... right?
5. Question about series and sequences

Homework Statement I have a function a_{n}=\frac{2+3n}{2n+1}, and I have to find out whether it converges or diverges. I did the ratio test lim_{n\rightarrow\infty}\left|\frac{a_{n+1}}{a_n}\right|. And according to the divergence test, it should diverge. Then it asks if the series...
6. Uncertain about volume of bounded region question

I meant that the disks are stacked on top of eachother vertically.
7. Uncertain about volume of bounded region question

Homework Statement The question states: Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. The lines are, y=lnX, y = 1, y = 2, and x = 0, rotated about the y-axis. I know how to integrate it, I just don't exactly know which...