Help with solving ODE

*To*: mathgroup at smc.vnet.net*Subject*: [mg81772] Help with solving ODE*From*: Pioneer1 <1pioneer1 at gmail.com>*Date*: Wed, 3 Oct 2007 02:31:57 -0400 (EDT)

Hi, Can anyone help solve this linearized differential equation: Iy'' + ky' = 2GMmd/a^2 Primes are time derivates of y (=theta=excursion angle). Is it possible to solve this for the initial conditions y(0)=0 and y'(0)=0? I got the solution at sci.math for the non-linear version and I want to compare the two. Here's the link to sci.math thread: http://groups.google.com/group/sci.math/browse_thread/thread/a6ee2f782df09625/53cf5573d354a3ab#53cf5573d354a3ab Further information is also available at sci.physics.research http://groups.google.com/group/sci.physics.research/browse_thread/thread/d391940cc173f9dc/eed90e6c3fee0edc#eed90e6c3fee0edc Parameters are: > y = theta = excursion angle in radians > A = I = moment of inertia = 13,138,117.34 g cm^2 > B = R = damping = for now I assume this to be zero > C = k = torsion constant = 724.68 g cm^2 sec^-2 > d = moment arm = 93.09 cm > D = 2GMmd = 2 * 6.67*10^-8 * 158100 * 729.8 * 93.09 = 1432.82 > a = distance between weights = 22.10 cm I would truly appreciate help with this. Thanks

**Follow-Ups**:**Re: Help with solving ODE***From:*Murray Eisenberg <murray@math.umass.edu>