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 Differential Equations Ordinary and Partial Differential Equations Math Forum

 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]^4-V1[x]*r[x]^2+P1[x] -S1 -S2 r[x]^4-V2[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 Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post rishav.roy10 Differential Equations 0 August 21st, 2013 05:59 AM ivector Differential Equations 4 July 24th, 2013 09:51 PM luketapis Differential Equations 2 March 27th, 2012 07:45 AM rajanm1 Differential Equations 0 March 2nd, 2010 02:45 AM rajanm1 Differential Equations 0 March 2nd, 2010 02:39 AM

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