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May 14th, 2010, 06:28 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... 

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differential, partial, reduced 
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