Originally Posted by

**billbarber** Ok. One more question.

Consider the equation d^2y/dt^2 + B(dy/dt) + 2y = 0. Where B is a real parameter. Find all values of B such that the solutions except the trivial one Y(t)=0, are oscillatory. And find all the values of B that are growing oscillations.

I switched the equation to r^2 + Br + 2 = 0 and used the quadratic formula to get r = B/2 + or - {square root of (B^2 - 8)] / 2 i now I'm not sure where to go from here to find the values that are oscillatory.

Any help would be appreciated. Thanks.