mehran rajabi

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These are questions asked by mehran rajabi

Hi everybody:
I have 12 equations with 12 unknowns(c(1),c(2),...,c(12) and omega), I want to obtain c(1),c(2),...,c(12) and omega, how can I do it? The Maple file(solve.mw) is attached.
with regards...

solve.mw

Hi every body:

How can I solve this equation with Trapezoidal Rule in Maple? 

u(x) = 1+int(x*t*u(t), t = 0 .. 1)

Tnx..

Hi every body:

I have six ODEs in two case with their initial conditions: 

case 1:

eqs1:= diff(r[1](t), t, t)+.68041478*(diff(r[1](t), t))+732.61274*r[1](t)-0.11751824e-2*V(t) = -0.52084940e-2*q(t), 2.03*10^(-8)*(diff(V(t), t))+4.0650406*10^(-7)*V(t)+0.11751824e-2*(diff(r[1](t), t)) = 0, diff(q(t), t, t)+(9.5199780*(q(t)^2-1))*(diff(q(t), t))+1006.9998*q(t) = -2192.5091*(diff(r[1](t), t, t));
ics1 := V(0) = 0, q(0) = 0.1e-2, (D(q))(0) = 0, r[1](0) = 0, (D(r[1]))(0) = 0;

case 2:

eqs2:= diff(r[2](t), t, t)+3.3737665*(diff(r[2](t), t))+52672.540*r[2](t)-0.93177795e-2*V(t) = 0.18358493e-2*q(t), 2.03*10^(-8)*(diff(V(t), t))+4.0650406*10^(-7)*V(t)+0.11751824e-2*(diff(r[1](t), t))+0.93177795e-2*(diff(r[2](t), t)) = 0, diff(q(t), t, t)+(9.5199780*(q(t)^2-1))*(diff(q(t), t))+1006.9998*q(t) = -2192.5091*(diff(r[1](t), t, t))+772.79848*(diff(r[2](t), t, t));

ics2 := V(0) = 0, q(0) = 0.1e-2, (D(q))(0) = 0, r[2](0) = 0, (D(r[2]))(0) = 0;

How can i solve numeric stiff the ODEs and plot V(t) in case 2 for t=0..2?

tnx...

Hi everyone: 

I want to obtain r1(t), V(t) , q(t) in terms of U0 and plot V(t) in terms of U0, how? 

eq1:= diff(r[1](t), t, t)+(.3293064114+209.6419478*U[0])*(diff(r[1](t), t))+569.4324330*r[1](t)-0.3123434112e-2*V(t) = -1.547206836*U[0]^2*q(t)
eq2:= 2.03*10^(-8)*(diff(V(t), t))+4.065040650*10^(-11)*V(t)+0.3123434112e-2*(diff(r[1](t), t)) = 0
eq3 := diff(q(t), t, t)+1047.197552*U[0]*(q(t)^2-1)*(diff(q(t), t))+1.096622713*10^6*U[0]^2*q(t) = -2822.855019*(diff(r[1](t), t, t))
ics:=r1(0)=0,D(r1)(0)=0,V(0)=0,q(0)=0,D(q)(0)=0;

Tnx...

Hi everybody.....

I want to obtain the roots of below equation, How? 

eq:=1+cos(beta)*cosh(beta)+.5720823799*beta*(cos(beta)*sinh(beta)-cosh(beta)*sin(beta))-0.1285578382e-1*beta^2*sin(beta)*sinh(beta)-0.9629800618e-4*beta^3*(cos(beta)*sinh(beta)+cosh(beta)*sin(beta))+0.1377259814e-4*beta^4*(1-cos(beta)*cosh(beta)) = 0

Tnx...

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