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?

deq := diff(f(z), z$2)-(2*z^2+z-a-1)/z*diff(f(z), z)-((2*a+4)*z+a+1)/(2*z)*f(z):

DETools:-formal_sol(subs(a = .1, deq), f(z), order = 3)[1];
                        1+.5000000000*z+.6845238095*z^2+O(z^3)

evalf[20](DETools:-formal_sol(subs(a = .1, deq), f(z), order = 3)[1]);
                        1.+.50000000000500000000*z+.68452380953750000000*z^2+O(z^3)

The second output is padded to 20 digits, but only the first 10 digits are correct, apparently taking the cached values from the first computation. I think that's really wrong.

Numerical evaluation of HeunBPrime fails if abs(z)>1:

HeunBPrime(.2, .3, .4, .5, 1.5);
Warning, breaking the computation of HeunBPrime after 20000 terms, the series is not converging
                      9.604689581*10^15896

while this gives the correct value:

subs(z = 1.5, convert(series(HeunBPrime(.2, .3, .4, .5, z), z = 0, 40), polynom));
                          15.37195056

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

1. This seems wrong:

modp1(ConvertIn((x^2+1)^5, x), 2);
Error, modp1: invalid arguments

ConvertIn works for other unexpanded inputs, and the documentation doesn't say that the polynomial should be expanded.

2. It's not clear what the correct way to test for equality is:

p := modp1(Monomial(1, x), 2):
q := modp1(Multiply(p, One(x)), 2):

is(p=q);
Error, (in property/ConvertRelation) invalid terms in sum: modp1(ConvertIn(x, x), 2)

evalb(p = q);
                              true

There is no Equal function, and IsZero(Subtract(p, q)) is rather clumsy.

3. In the documentation, with "Display Examples with 2D math input" checked, the second input looks like this:

a := (x^4-x^2+2) mod p

which doesn't make any sense.

4. In a 2D Input cell, using a label to refer to a previous output which is zppoly gives an error:

Error, '_Inert_ZPPOLY' is not a valid inert form

The same label in a 1D Input cell works.

5. It's not quite consistent that sometimes one-argument modp1(zppoly) works -- because zppoly stores the modulus -- but sometimes it doesn't:

modp1(IsZero(Subtract(p, q)));
Error, modp1: invalid arguments to function Subtract

6. There is no documentation for modp1/Embed.

 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