I can not integrate the following integral using maple 2016. Please guide me how to do it. I am a new user.

int(12.*x^3*c[2]+6.*x^2*c[1]+x^2*exp(x^3*c[2])*exp(x^2*c[1]), x = 0. .. 1.)

Letter_V_kaput.mwsLetter_V_working.mws

The two attached programs are such that the "kaput" version uses a procedure to draw the letter V, with the option of a flat top or pointed top.  The last parameter, s, takes on values "p" or "f" for pointed or flat respectively. - but I get error messages.  The Letter_V_working programdoes not use a proc, but works.  Where is the error?

  Thanks in advance for any help.

   .  .

Hi, I'm new to Maple and I'm trying to create a phaseportrait for the equation:

dy/dx = x²-y² 

when x = -3..3 and y = -3..3

If anyone can help me that would be great.

Thanks.

Above in the figure, the trapezoid method. How to fix the error?

And how to solve this interval using the method of rectangles?

Dear all

When requesting Maple to solve, for example, the 2D Laplace equation the default solution is 

U(x, y) = _F1(y-I*x)+_F2(y+I*x)

How can I ask Maple to provide a solution in real variables? I've tried  "assuming U(x,y) real", but the result is the same. 

Thank you very much for your help.

I want to use Burr distribution and hence I am creating custom probability distribution. The pdf of Burr is not piecewise. It gives error.

burrpdf := alpha*k*((x-gamma)/beta)^(alpha-1)/beta(1+((x-gamma)/beta)^alpha)^(k+1)

burr_distribution := Statistics[Distribution](PDF = (alpha > 0, beta > 0, gamma > 0, k > 0), burrpdf)

Error, (in Statistics:-Distribution) invalid input: too many and/or wrong type of arguments passed to NewDistribution;

how can i plot this plot in maple

Dear all

How compute the area ( closed area)  between the curves x=2-y^2,  y=x and y=-1 using simple or double integral.

Please, see the following figure.

Which  appropriate integral in Maple can be formulated to compute the area.

Many thanks for your help.

Hello everyone ,I have an easy question:

x,y:=1,2;

x+y=3;

how to display 1+2=3 rather than 3+3?Are there some suggestions to offer?

Thanks a lot~

Getting error as invalid product/quotient. Someone help me to correct this error.

Matrix(2,1,[A[1],B[1]]):=MatrixInverse([Q[1]])*([Q[2]] )*..* MatrixInverse([Q[j]])*([Q[j+1]])* ..*MatrixInverse([Q[2 n-2]])*([Q[2 n-1]])Matrix(2,1,[A[N],B[N]]);

how to plot this equation?

4*del/(4*del+(1+del)^2*sinh(KL)^2)

Hi,
First of all I am not an expert in using Maple. 
When I execute the following code, it runs without an error:
----------------
restart;  

with(plots):

g:=(x,y)->sin(((1+x^2+y^2))*(Pi/2)) ;                                                                            

 q:=(n,k,x)->binomial(n,k)*(((1+x)/2)^k)*((1-x)/2)^(n-k) ;                                                            

  K:=(n,m,x,y)->((1+n)/2)*((1+m)/2)*sum(q(n,k,x)*sum(q(m,j,y)*int(int(g(t,u),u=2*(j/(m+1))-1..2*((j+1)/(m+1))-1),t=2*(k/(n+1))-1..2*((k+1)/(n+1))-1),j=0..m),k=0..n);                                                                      

p1:=plot3d(g(x,y),x=-1..1,y=-1..1,color=blue):                                                                       p2:=plot3d(K(30,30,x,y),x=-1..1,y=-1..1,color=brown):                                                                    

display([p1,p2]);
---------
However, when I execute the following code,  I get the error message "to many levels of recursion"
---------
restart;                                                                                                                

with(plots):                                                                                                          

 g:=(x,y)->sin(Pi*(x+y))*(x^2+y^2);                                                                  

 q:=(n,k,l,x,y)->binomial(n,k)*binomial(n-k,l)*(((1+x)/2)^k)*(((1+y)/2)^l)*(1-((1+x)/2)-((1+y)/2))^(n-k-l) ;                                              K:=(n,x,y)->(((1+n)*(2+n))/4)*sum(sum(q(n,k,l,x,y)*int(int(q(n,k,l,t,u)*g(t,u),u=-1..-t),t=-1..1),l=0..n-k),k=0..n);  p1:=plot3d(g(x,y),x=-1..1,y=-1..-x,color=blue):                                                                      

 p2:=plot3d(K(1,x,y),x=-1..1,y=-1..-x,color=brown):                                                                  

p3:=plot3d(K(2,x,y),x=-1..1,y=-1..-x,color=yellow):                                                                

p4:=plot3d(K(5,x,y),x=-1..1,y=-1..-x,color=green):                                                                    

p5:=plot3d(K(10,x,y),x=-1..1,y=-1..-x,color=red):                                                              

   display([p1,p2,p3,p4,p5]);
--------
Could you please help me with this problem. Thanks in advance.

Dear User!

Hoped you all are fine with everything. I am facing to determinte the integration of the following for n = 0 and for n>=1.

int(2*x^i*(x+n)^m*sqrt(-x^2+x), x = 0 .. 1)

I am unable to compute integral, it displays the function itself.

burrpdf := alpha*k*((x-gamma)/beta)^(alpha-1)/beta(1+((x-gamma)/beta)^alpha)^(k+1)

mean_burr_temp := simplify(x*burrpdf)

int(mean_burr_temp, x = gamma .. t)

Hello Everybody!
Please help me to find a way to write the Taylor's series of some function in factiorial or Gamma notation.
Please see the attached file and suggest me something.
taylor_series_general.mw