
Differential Equations Ordinary and Partial Differential Equations Math Forum 
 LinkBack  Thread Tools  Display Modes 
May 14th, 2010, 05:28 PM  #1 
Newbie Joined: May 2010 Posts: 1 Thanks: 0  Partial differential reduced but...
Hi everybody... I have problem with this system of equation d^4 (T1[t])/dt^4 + (A1  B1*f[x])*d^2 (T1[t])/dt^2 + (C1 + D1*f[x])* T1[t]  E1*T2[t] = 0 d^4 (T2[t])/dt^4 + (A2  B2*f[x])*d^2 (T2[t])/dt^2 + (C2 + D2*f[x])* T2[t]  E2*T1[t] = 0 X[x] = (Ch[k*x] + Cos[k*x])/(Ch[k*l]  Cos[k*l])  (Sh[k*x] + Sin[k*x])/(Sh[k*l]  Sin[k*l]); f[x] = X''[x]/X[x]; A1,B1,C1,D1,E1,A2,B2,C2,D2,E2,l,l are constants. The solutions are in this form e^i*r*t. And than I can get a determinant which must be equal to zero because of non trivial solutions. Form is r[x]^4V1[x]*r[x]^2+P1[x] S1 S2 r[x]^4V2[x]*r[x]^2+P2[x] S1,S2 are constants I need a solutions r, not a solutions r as a function of x. PLEASE!!!!!!! Ritz method can help but ... Derdack in big problem... 

Tags 
differential, partial, reduced 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Partial Differential Differential Equations  rishav.roy10  Differential Equations  0  August 21st, 2013 05:59 AM 
Partial Differential..!  ivector  Differential Equations  4  July 24th, 2013 09:51 PM 
partial differential  luketapis  Differential Equations  2  March 27th, 2012 07:45 AM 
Partial Differential Equations  rajanm1  Differential Equations  0  March 2nd, 2010 02:45 AM 
Partial Differential Equations  rajanm1  Differential Equations  0  March 2nd, 2010 02:39 AM 