1. solve(y(x)+3*int((s+t)*y(t), t = 0 .. 1) = x^2+1, x) 2. solve(y(x)+3*int((s+t)*y(t), t = 0 .. 1) = x^2+1, s)

I wonder if somebody can help me with this problem. I am triying to use dsolve to evaluate the stress trayectories for a problem in elasticity. These means to solve numerically a nonlinear ode but with a rather complicated user-defined functions at the right hand side of the equation. I have used this function as a known function but in this way dsolve just does not work, it does not even start and it seems to me it does not recognize the independente as well as the dependent variables. Would be grateful if somebody can give me a hint here.. Thank in advance Raul Manasevich

Hi to All! This is a true top secret story from Ph Dr S.Arlou When I was a callow youth at my first year at the university I was very proud of my high rate in general course of physics. Besides I was rather good at mathematics as I was able to add fractions and find derivative of functions. I had only one thing lift to study – mechanics of materials. To my greatest disappointment I couldn’t manage with my test work on mechanics of materials after twenty attempts! The only consolation I found in the team of the same unfortunate students. It seemed to me that a student with an excellent knowledge of physics had to understand mechanics of materials. Its roots according to my brilliant conjecture™ are hidden exceptionally in physics. What’s the matter? Years passed… More years passed… Some more time passed. All the time I tried to find the answer to my question, how mechanics of materials should be taught so that a child would be able to understand it, at least in general. During these hard meditations I had to be involved into absolutely useless things: post graduation studies, presentation of Ph.D. thesis, teaching at technical university, marriage at last. But Maple with its analytical potential burst into my life as a tornado. The answer came with a lightning speed. Mechanics of materials is short of the power of the power of analytical computing. We need as much of it as our head or laptop can contain. In one word I invented Mechanics of Materials™ only to converge teaching of mechanics of materials to discussions about weather, magazine Forbes ratings and so on… or discussing scientific problems which are far beyond from our standard mechanics of materials curriculum. My congratulations to all students on the occasion of a new academic year! Details
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Please help me on solving this two questions. 1. solve(y(x)+3*int((s+t)*y(t), t = 0 .. 1) = x^2+1, x) 2. solve(y(x)+3*int((s+t)*y(t), t = 0 .. 1) = x^2+1, y) 3. solve(y(x)+3*int((s+t)*y(t), t = 0 .. 1) = x^2+1, s) 4. sum(3*x[r]+1, r <> 5) 5. sum(3*x[`#msup(mi("r",fontstyle = "italic"),mo("&uminus0;",fontstyle = "italic"))`]+1, r = 5)

Hi,

I have a question concerning PDEs with initial conditions. The general solution to my PDE is achieved by:

PDE:=diff(p(x,y,t),t)=(x-1)*k1*p(x,y,t)+(y-x)*k2*diff(p(x,y,t),x)+
(1-y)*k3*diff(p(x,y,t),y);

ans:=pdsolve(PDE);

However, I would like to achieve the solution for this PDE with the initial condition p(x,y,0)=x^n. I have read all the information I could find under the help menu. If there is no way to define the initial conditions directly in the pdsolve function, then how do I get the solution of the PDE with my initial conditions given the general solution achieved by pdsolve?

I see 'flying' parenthesis in Maple 10 on my Mac iBook G4 with OSX 10.4. An example can be seen here: http://www.fys.ku.dk/~niclasen/parenthesis.pdf It's just a standard installation of Maple 10 without any further configuration. The font is "Times New Roman" in the line with blue output. Does anyone have the same problem? And how can I solve it? Thanks! John.

Being new to Maple I can't figure out how to do a 3d plot of a function w/ 3 variables. I want to be able to also do a space curve to show the constraints. Anyway, here's the function. f := proc (x1, x2) options operator, arrow; (339+(-1)*0.1e-1*x1+(-1)*0.3e-2*x2)*x1+(399+(-1)*0.4e-2*x1+(-1)*0.1e-1*x2)*x2-400000-195*x1-225*x2 end proc I am not able to show it. Thanks, Bill

To obtain the differentation of a matrix use the command map(f->diff(f,x),M);

We've encountered an interesting problem, outlined below: restart; with(student): f:= x->x; #anything, just so long as f is a function. b:= leftsum( f, x=1..2, 6); # the range and number of rectangles aren't really important. b; c:= evalf(b); c; As you will see, b does not throw an error, and yet c does. The recursion error seems to be an untrappable error (i.e. it kicks you immediately out of all try-catch loops and back to the top level). It immediately breaks out of any function or procedure we throw at it. After analysis with printlevel := 100, it seems that the error arises in how evalf calculates the Sum in evalf/Sum1; evalf uses the variable r and adds each piece of the sum to r one by one.

Hi everyone! I have a really important question about maple: while using maple to solve my problem (PDE, a few threads before), I did pay attention to the fact the maple is giving different values for 2 equal expressions! for example: assume we want to express sin(d) as a function (only) of tan(d). It's easy to see that 1/tan^2(d) is equal to [1/sin^2(d)]-1. therefore: 1/sin^2(d)=[tan^2(d)+1]/tan^2(d) from this we have immediately: sin(d)=tan(d)/sqrt(tan^2(d)+1) now, when I put sin(d) in my solution, I didn't get the same answer as I got with the expression to sin(d) above!!! Why is this happenning? and what can I do to get ovet it? (I really need to use the expression above instead of sin(d))

Hi I'm new to Maple. I've had it for years and am just now getting into it. My problem is how to simultaneously solve a set of equations that feature some nonlinear terms. This isn't a set ODE's. They are algebraic equations with nonlinear integral terms like, I2:=int(cos(Pi/2/Theta*e)^4.545*sin(e)*cos(e-phi),e=theta..Theta); There are 3 variables to solve for after the variable theta has been specified. Equation 1 has the nonlinear terms and the other 2 equations are linear. I can post all 3 equations if someone can help. I saw an example on this site for a vibration problem solved with the Runge-Kutta method but the dsolve command was used and mine aren't ODE's. I have version 7.

A common complaint among MaplePrimes users is that when you close your web browser, you have to log into the site again. Your login information is not remembered between browser sessions. I just posted an update to the site that fixes that problem. You can now log in and return to the site after closing your browser and you will still be logged in. If you return to the site and don't appear to be logged in, please check that the URL in your address bar is www.mapleprimes.com. If you are using an old bookmark that heads to beta.mapleprimes.com, your login information will not be remembered. Just change your bookmark and the problem will be solved.

Hello, When i used command 'Eigenvector' to find eigenvalues and eigenvectors of mechanic system like this : (wfem,modvecs) := Eigenvectors(mm,kk); # mm,kk are mass and stiffness matrices of system . It returns a complex vector and matrix. But when use : (modvecs,wfe):=Matlab[eig](mm,kk,eigenvectors=true); It returns a float matrix and vector, i try using Matlab to solve and it also retrurns a result similar to Matlab[eig]. The important thing is two results of two command 'Eigenvector' and Matlab[eig] are difference. After that, I use 'Map' command to take real part of result(in 'Eigenvector'),but it works only with 'map' ,and 'Map' doesn`t.

Goodday, Ladies and Gents, My Prof. has asked us to prepare text files containing pi, e, sqrt(2) and the golden mean to 100,000 places for class next week. Easy enough ((evalf[200])(sqrt(2)),(evalf[200])(exp(1)),evalf[200](Pi) - excepting for golden mean. Is there a quick way to do it? Thanks. Evyn

Dear all, I have query with 9X9 matrix of MAss and Stifffness ; So please kindly help me how to solve it. Thx,Rgds PNChary