Hi I have a function i d live to plot and integrate but maple tells me there is a probleme with the range when i want to plot and will not give me a numerical value of the integral :

What am i doing wrong ??

I am trying to repeat the 'first example' in Stephani & MacCullum, Differential equations see chapter 16 and (16.5).  The differential equation is,

pde := b1(x, y)*(diff(u(x, y), x))+b2(x, y)*(diff(u(x, y), y)) = 0

and I would like to compute DeterminingPDE.  The textbook answer is linear in b1 and b2 (as my 'by hand calculation' is) but Maple's,

DeterminingPDE(pde)

contains quadratic terms such as b1^2, b1*b2 etc.  I don't understand the appearance of the quadratic terms.  Is it possible for Maple to return an answer which is linear in b1 and b2?

In the link below to my worksheet I have attempted to construct the Fourier series for the function 1-x.  I should mention that the I often interchnge the variables x & t (probably a bad habit).  It appears that I am getting something close, but my term for n=0 appears to be undefined.  Given the plot I generated the term for n=0 should be approximately 1/4 to get the base of the triangle to intersect the t or x axis.

So I thought if I can get another set of eyes on my work maybe someone can point out what I have incorrect.

Appreciate any assistance

asymmetric_triangle_fourier_series.mw

I'm learning Maple with the provided user manual, and it clearly says to use ctrl+= to display inline results. It simply doesn't work on  my system. Running Maple 2017.3. Is this a bug?

How can solve system of equations by cramer's rule or LUDecomposition method in maple

I need to solve a system of differential-integral equations (see them on the picture). The T(x) function contains an integral with variable upper limit of the wanted function r(x), while the r(x) contains T(x). I don't know how to load the integral into a system, what syntaxix should I use. The boundary conditions and constants are written in the file, as is the error that appears when I try to enter the T(x) function. In the end I need a graphic of r(x) and T(x).

1_с_Y(theta).mw

The Perimeter Institute for Theoretical Physics (PI) is a place where bold ideas flourish. It brings together great minds in a shared effort to achieve scientific breakthroughs that will transform our future. PI is an independent research center in foundational theoretical physics.

One of the key mission objectives of Perimeter is to provide scientific training and educational outreach activities to the general public. Maplesoft is proud to be part of this endeavor, as PI’s Educational Outreach Champion. Maplesoft’s contributions support Perimeter’s Teacher Network training activities, core educational resources, development of online course material, support of events such as the EinsteinPlus workshop for high school teachers, the International Summer School for Young Physicists (ISSYP), and other initiatives.
 

The annual International Summer School for Young Physicists (ISSYP) is a two-week camp that brings together 40 exceptional physics-minded students from high schools across the globe to PI. The program covers many different topics in physics such as quantum mechanics, special relativity, general relativity, and cosmology. Each year students receive a complimentary copy of Maple, and use the product to practice and strengthen their math skills. The program receives an average of three-hundred applications from students in grades eleven and twelve from around the world. Competition is intense, and students who are chosen for the program are extremely bright and advanced for their age; however there is some variation in their level of math and physics knowledge. . Students are asked to review a “math primer” document to prepare them with the background needed for the program.The ISSYP program now uses Möbius, Maplesoft’s online courseware platform to administer this primer. With Möbius, PI has moved from a pdf document primer to fully online material, which has motivated more students to complete the material and be more engaged in their courses. The interactivity and engagement that technology provides has made the summer program more productive and dynamic.

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 I want to learn about maple software. How to additte any text in maple work sheet? Kindly guide me in such a cases.

Regarded Nadeem Abbas (PhD scholar Mathematics PK)

My question is within the worksheet.

assignation.mw

I must be missing something in my Fourier integral.  My understanding is that the sinc function is the transform of a square wave.  In the link below I am getting something slightly different.  I have the parameter tau to define relative to the period, T, to vary the width aspect ratio of the wave,  If tau=T I do get the sinc function.

What am I missing or is what I have correct?

Sq_wave_Fourier_transform.mw

Hi all,

I am stuck in a question. Perhaps somebody can help me. I have to find the values for a, b, c and d such that the expansion of y in powers of x, does not contain the term of x^p for p=3,4,5,6. 

I defined y:

restart:
y:=[(1+a*x+b*x^2)/(1+c*x+d*x^2)]*ln(sinh(x)^2 + cosh(x)^2);

But now it became terrible. I tried: series(ln(sinh(x)^2 + cosh(x)^2), x=0, 10). I think I am not right. Can somebody please help me?

  how can I find equation discribing elliptic intersections and use lagrange to show the higest and lowest value ?    g 

I am trying to solve laplaces eqn in maple, and i cannot see an error in my code, however when i run it it returns me nothing. No error, not solution. just nothing.

pde := (diff(u(x, y), x, x))+diff(u(x, y), y, y) = 0;

bc[1]:= D[2](u)(x,0) = 0;
bc[2]:= (u)(x,1) = x^2-x;
bc[3]:= (u)(0,y)=0;
bc[4]:= (u)(1,y)=0;

pdsolve({pde, bc[1], bc[2],bc[3],bc[4]}, HINT= X(x)*Y(y));

what is going wrong?

Hello!

I am about to draw the rectangle pulse response in Maple. I am new so I am not sure how to start. I did try Google and found some massive functions, and since I am still at the basic level I assume there is something I am missing out on.

What I have:

1. An interval
2. A small delta
3. y(t) = e^-tθ(t) and RC = 1

I did find this: https://www.maplesoft.com/support/help/maple/view.aspx?path=DynamicSystems%2FImpulseResponsePlot

That I got to work for me and the graph is shown. But this TransferFunction is unknown for me. Is there any way to convert my y(t) = e^-tθ(t) into a TransferFunction?

How can i solve this nonlinear equation using adomian decomposition method in maple? 

utt −uxx +u^2 = 6xt(x^2 −t^2)+x^6t^6