It's frustrating that Maple 14 evaluates this integral to be 0: 

int(sqrt(-8*cos(t)*sin(t)+5),t=0..2*Pi);

( The integrand is positive over the interval.)

This equivalent integral is evaluated correctly in terms of EllipticE:

int(sqrt(-4*sin(2*t)+5),t=0..2*Pi);

Hi

I am trying to compute the value of a complex integral with higher precision, but if I increase the number of significant digits the value is not computed. Are there any approaches that can give me higher precision?
Residue calculus does not appear to be an option but as the exponents are not necessarily integer.

The problem is the following:

int_C(phi(z)*exp(-l*z))intd z

where C can be parametrized by t->mu+t+c*I*t for t=0..infinity, mu and l is real.

Hello,

 I want to plot the following truncated powr series with trigonometric coefficients:

sum(-y2*y3+8*(-1)^((k-1)*(1/2))*sinh(y2*Pi*k)*sin(k*Pi*y3)/(Pi^3*k^3*cosh((1/2)*k*Pi)), k = 1 .. 10)

but I get some strange terms with a strange term "I" in it which causes strange plots. I removed and it seems ok, why does this happen and what can I do to avoid it?

Question.doc

Can you make geometric figures that hold a particular area within a given perimeter of 12 matches

My attempt was to start at origin 0,0 and move up 1 unit (a,b) and then 1 unit up or to the right (c,d) etc ... until you enclose the required area (defined by linear spline) s.t. perimeter =12. but it doesn't really work

Consider the planar region bounded by the curves y=x^2 + 4x + 6, x=1 and y=2. Rotate about the line x=3 

i want to display a1,a2,a3 on one side and b1,b2,b3 on another sides  that is in an array (one side a1,a2,a3 graph and another side b1,b2,b3 graphs)

 my codes are 

a1:=plot(x^2,x=1..2);a2:=plot(x^2,x=3..4);a3:=plot(x^2,x=4..5);
b1:=plot(x^3,x=1..2);b2:=plot(x^4,x=1..1);b3:=plot(x^5,x=1..2);

A:=([a1,a2,a3])

B:=([b1,b2,b3])

with(plots):display([A,B]);

Hi 

I want to plot:

plot(int(x^2*e^(PI*x/10^12 M), x = 0 .. infinity))

where M is 10^8 but i want the units of the x axis to be x/M, is this possible if so please can i have some help.

Hi all,

There is a state space system as follows:

X_dot = A.X + B.U

Y = C. X

The transfer function of this system is

H(s) = C. (sI-A)^-1.B                 (1)

H(s), that is calculated in Maple by using the formula (1), is very complex (please see the attached file).

Would you please show me how to find the transfer function of the system? 

In addition, how to plot its bode plot?

I'm trying to plot this equation with initial conditions. I'm following the exact same code that my professor used, but it isn't working. 

restart; with(plots): with(DEtools):

DE := y(t)^2*(4-y(t)^2);

p1 := DEplot( DE, y(t), t=0..1/2, {[y(0)=1],[y(0)=3]}, arrows=none, thickness=2, linecolor=[blue,green]):

Under the last line of code I get the error "Error, (in DEtools/DEplot/CheckInitial) the 'number' option...

Regards,

I am trying to solve a problem in theoretical applied mechanics in which I need to find the solution for 5 unknown but I have 6 equations. None of the equations is redundant and I need the solution of the variable to satisfy each of the equations.

These are the equations 

24-52*L^4*m[0]*Omega^2*(R+1/2)/EI[0]-168*beta[1]-52*F*L^2/EI[0]+104*beta[2]+(120+72*beta[1]+104*L^4*m[0]*Omega^2*R/EI[0]-504*beta[2]+312*beta[3]+84*L^4*m[0]*Omega^2*(R+1/2)/EI[0...

Hello,

I have created a test document to check an equation and I would like to feed a range of k values (ranging from 0 to say 512) in increments of 1) to the main function, and then plot the result as a graph of Zuncomp (y-axis) vs k(x-axis).

I can verify the values of the function by typing say Zuncomp(0) or Zuncomp(10) etc but how do you run this so that you do Zuncomp(k) to read all values of k and generate the output to plot?

Using Maple 13 (Windows 7...

restart;

assume(alph>0);

assume(alph,real);

f_exp:=exp(-alph*r^2);

ff_deriv:=simplify(r^2*f_exp^2);

ff:=simplify(int(ff_deriv,r=0..infinity));

It seems to understand what i'm trying to integrate but when I try and find ff it comes up with an awful expression full of erf functions and with a lim r--> infinity at the front. However on wolfram alpha I get the answer that I want: sqrt(pi/2)/(8*alpha^(3/2)).

I am trying to solve two differential equations numericaly:

I recently get a new macbook pro with retina display. Unfortunately Maple 16 seems to be not retina ready. Searching the net I found a tool called retinizer. Using it Maple 16 seems to be displaying a little better, but still the outputs of calculations looks blured. however, whenever certain texts are selected, the whole Maple window display becomes very sharp, so I guess Maple is somehow retina ready but this functionality is disabled by default. Checking the "Get Info" window...

Hi 

In trying to solve:

 a := diff(u(t), t$2)+(p^2-I+t^2)*u(t) = 0;

I get the following solutions,              

sol1 := u(t) = _C1*WhittakerM(-1/4-(1/4*I)*p^2, 1/4, I*t^2)/sqrt(t)+_C2*WhittakerW(-1/4-(1/4*I)*p^2, 1/4, I*t^2)/sqrt(t)        

It should be possible to expand these into parabolic cylinder functions and but im not sure how, i would appreciate any help.

thanks