
#1
Feb2809, 06:35 AM


#2
Feb2809, 11:07 AM

P: 288

So the DE is
ax'' + bx' + cx = 0 Write the characteristic equation... an^2 + bn + c = 0 Solve for n using the quadratic formula... n = [b + sqrt(b^2  4ac)] / 2a This will give you two (possibly nonunique) exponents. if the exponents are different, say n1 and n2, then the solution is x(t) = Aexp(n1 t) + Bexp(n2 t) If the exponents are the same, then x(t) = Aexp(n t) + B t exp(n t) Am I missing something, or does this answer your question? 



#3
Mar109, 10:01 AM

P: 2

thanks a lot, that is the answer if the motion is linear, how about the angular motion?
how can i modify this equation.?? 



#4
Mar109, 10:39 AM

P: 288

second order ODE solution for this system??
To make it angular, rewrite it using "theta" instead of "x".



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