Register to reply 
Second order ODE solution for this system? 
Share this thread: 
#1
Feb2809, 06:35 AM

#2
Feb2809, 11:07 AM

P: 287

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: 287

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



Register to reply 
Related Discussions  
Formulate a secondorder ODE as a firstorder system.  Calculus & Beyond Homework  2  
Solution > Second Order ODE?  Differential Equations  3  
Solution of a first order ODE.  Calculus & Beyond Homework  8  
2nd Order De Solution  Differential Equations  2  
Bessel's Eq. of order 0 and solution help  Calculus & Beyond Homework  5 