Recent content by pm1366

thank you for your help, actually that is an old paperback in my university library , it doesn't have much explanations, it's a domestic paper... now that i see your table, your results are the same as mine in maple when p,q≥1/8 exactly the same except that my c is up to max 1.675 to reach b<1...

thanks Mr Simpson for your help , but i get different results for solution of the system with Maple: Even if i give positive range to p & q before solving , this way: S := fsolve({F1 = 0, F2 = 0}, {p = 0 .. 10, q = 0 .. 10}) and supposing c=1/2 , i get {p = 7.991211001, q = 0.} and also with...

thanks Mr Vickson , yes i saw those plots , it seems that this system has a lot solutions , [ i made a simple mistake in F1 , instead of (p^2 - q^2) we must have (q^2 - p^2) in first term , although this doesn't affect the whole problem and plots ] so the correct F1 & F2 are: $$...

^ I'm now considering only maple , what i want to know is a suitable range for fsolve and just for 1 value of c , say c=1 for example , in maple for a specific value of c : > S := fsolve({F1 = 0, F2 = 0}, {p = 0 .. 20, q = 0 .. 20}); {p = 15.03019936, q = 0.}and if : > S :=...

thanks but i am seeking for p,q , how can i plot them when don't have them in hand ?! i want to know a possible range for solution of p & q and then apply the range to fsolve command ...

no problem Mr Vickson; there is a contradiction here ! when i change the range of p and q i get different results : for example ,if i set : > S := fsolve({F1 = 0, F2 = 0}, {p = 0 .. 20, q = 0 .. 20}); {p = 15.03019936, q = 0.}and if : > S := fsolve({F1 = 0, F2 = 0}, {p = 0 ...

what i have is F1=0 & F2=0 , i give some values to c in range of [0,2.5] and fsolve in maple is ok ,this way as you said : fsolve({F1=0,F2=0},{p,q}) but as I'm not too much familiar to maple , i need the similar case for MATLAB to be able to write my code easier (matlab is easier for me...

thank you very much Ray , very helpful Notes , i used fsolve and it is ok now ,giving me good values for p&q ,you did a great job , it would be very nice to help me with MATLAB too in my next comment

Homework Statement i'm trying to find a solution for these two equations, p & q are variables and c is known constant (it's given randomly) : $$ \begin{align}...

any other ideas friends ?

@aralbrec thank you for your help, i get what you're saying , but please look at this red line I've drawn in this picture: http://i45.fastpic.ru/big/2012/1027/2f/678839cd8c87271c8453274f1a30b72f.jpg it is showing that there must be 4 different lambda for the solution and not repeated lambda's (...

no :frown: ,no where talking about that ... it is an article about cylindrical shells , i can give it to anyone who want to have a look...

thanks...this is some likely answer , but here in this article we need 4 different lambda's . besides, as u see the four independent solutions are different from those u mentioned...that is exponential in the series form and 4 lambda's are included...

thanks for reply but i forgot to explain more, here it is: we have 3 linear partial differential equations: http://i45.fastpic.ru/big/2012/1027/8f/429c9d2a3bd454656212ed589156f38f.jpg now for homogeneous solution we're going to substitute below Equation into Eqs. (11) and (12) at the above...

Homework Statement hello, i am stucked at an article from sciencedirect . somewhere it gives me the following equation and then it tells that this equation must have 4 complex roots! the variable is lambda and we want to find 4 lambda complex roots Homework Equations λ^4=0The Attempt at a...