problem in dsolve - MaplePrimes

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Question:problem in dsolve

Posted: torabi 85 Product: Maple 2017

September 13 2017

hi..i have a problem with dsolve.

please help me thanks

1.mw

restart; Digits := 15; c := 5*10^(-12); b := 5*10^(-12); E[s] := 210*10^9; E[c] := 56*10^6; G[c] := 22*10^6; d := 2*10^(-12); L[0] := 17.6*10^(-6); L[1] := 17.6*10^(-6); L[2] := 17.6*10^(-6); `ρ__c` := 60; `ρ__s` := 7900; L := 20*10^(-12); `ζ__c` := 1; `ζ__s` := 1

w[t] := proc (x, t) options operator, arrow; f1(x)*exp(I*omega*t) end proc:

$dsys3 := {f11, f22, f33, f44, f55, 12*(L/d)^3*((D@@1)(f5))(0) = 0, 12*(L/d)^3*((D@@1)(f5))(1) = 0, 12*(L/d)^3*((D@@1)(f4))(0)+(1/5)*Zeta*(diff(w__t(x, t), x, x, x, x))*((D@@4)(f1))(0) = 0, 12*(L/d)^3*((D@@1)(f4))(1)+(1/5)*Zeta*(diff(w__t(x, t), x, x, x, x))*((D@@4)(f1))(1) = 0, (1/120)*zeta__c*(c/d)^4*(c/L)^5*((D@@3)(f3))(0)-((1/12)*zeta__c*(c/d)^4*(c/L)^3*((1/2)*E__c/G__c))*((D@@1)(f3))(0)+(1/24)*zeta__c*(c/d)^4*c*((D@@2)(f1))(0)/L = 0, (1/120)*zeta__c*(c/d)^4*(c/L)^5*((D@@3)(f3))(1)-((1/12)*zeta__c*(c/d)^4*(c/L)^3*((1/2)*E__c/G__c))*((D@@1)(f3))(1)+(1/24)*zeta__c*(c/d)^4*c*((D@@2)(f1))(1)/L = 0, -(1/120)*zeta__c*(c/d)^4*(c/L)^5*((D@@4)(f3))(0)+(1/12)*zeta__c*(c/d)^4*(c/L)^3*(1+(1/2)*E__c/G__c)*((D@@2)(f3))(0)-(1/24)*zeta__c*(c/d)^4*c*(diff(w__t(x, t), x, x, x))*((D@@3)(f1))(0)/L = 0, -(1/120)*zeta__c*(c/d)^4*(c/L)^5*((D@@4)(f3))(1)+(1/12)*zeta__c*(c/d)^4*(c/L)^3*(1+(1/2)*E__c/G__c)*((D@@2)(f3))(1)-(1/24)*zeta__c*(c/d)^4*c*(diff(w__t(x, t), x, x, x))*((D@@3)(f1))(1)/L = 0, -((1/4)*zeta__c*E__c*(c/d)^4*c/(E__s*L)*(E__c/G__c))*((D@@1)(f3))(0)+(1/24)*zeta__c*E__c*(c/d)^4*(c/L)^3*((D@@3)(f3))(0)/E__s+(Zeta*c/d*(L/d)-(1/3)*zeta__c*E__c*(c/d)^3*L/(E__s*d))*((D@@2)(f1))(0)-L*((D@@3)(f1))(0)/d = 0, -((1/4)*zeta__c*E__c*(c/d)^4*c/(E__s*L)*(E__c/G__c))*((D@@1)(f3))(1)+(1/24)*zeta__c*E__c*(c/d)^4*(c/L)^3*((D@@3)(f3))(1)/E__s+(Zeta*c/d*(L/d)-(1/3)*zeta__c*E__c*(c/d)^3*L/(E__s*d))*((D@@2)(f1))(1)-L*((D@@3)(f1))(1)/d = 0, -L*((D@@2)(f2))(0)/d-((1/4)*zeta__c*E__c*(c/d)^4*c/(E__s*L)*(E__c/G__c))*((D@@1)(f3))(0)+(1/24)*zeta__c*E__c*(c/d)^4*(c/L)^3*((D@@3)(f3))(0)/E__s+(3/8)*zeta__c*E__c*(c/d)^3*L*((D@@2)(f1))(0)/(E__s*d)+(Zeta*c/d*(L/d))*((D@@2)(f2))(0) = 0, -L*((D@@2)(f2))(1)/d-((1/4)*zeta__c*E__c*(c/d)^4*c/(E__s*L)*(E__c/G__c))*((D@@1)(f3))(1)+(1/24)*zeta__c*E__c*(c/d)^4*(c/L)^3*((D@@3)(f3))(1)/E__s+(3/8)*zeta__c*E__c*(c/d)^3*L*((D@@2)(f1))(1)/(E__s*d)+(Zeta*c/d*(L/d))*((D@@2)(f2))(1) = 0, (1/120)*zeta__c*(c/d)^4*(c/L)^5*((D@@5)(f3))(0)-(1/12)*zeta__c*(c/d)^4*(c/L)^3*(1+(1/2)*E__c/G__c)*((D@@3)(f3))(0)+(1/24)*zeta__c*(c/d)^4*c*((D@@4)(f1))(0)/L+(1/4)*zeta__c*(c/d)^3*L*E__c*((D@@2)(f1))(0)/(d*G__c)+(1/4)*zeta__c*(c/d)^4*c*(E__c/G__c)^2*((D@@1)(f3))(0)/L = 0, (1/120)*zeta__c*(c/d)^4*(c/L)^5*((D@@5)(f3))(1)-(1/12)*zeta__c*(c/d)^4*(c/L)^3*(1+(1/2)*E__c/G__c)*((D@@3)(f3))(1)+(1/24)*zeta__c*(c/d)^4*c*((D@@4)(f1))(1)/L+(1/4)*zeta__c*(c/d)^3*L*E__c*((D@@2)(f1))(1)/(d*G__c)+(1/4)*zeta__c*(c/d)^4*c*(E__c/G__c)^2*((D@@1)(f3))(1)/L = 0, f1(0) = 0, f1(1) = 0, f2(0) = 0, f2(1) = 0}:$