MaplePrimes Questions

g[1] := (diff(a(t), t))/(t^2-1) = 1;
g[2] := (diff(a(t), t))*(diff(b(t), t)) = 1;
dsolve({eq2, eq3});
with(DynamicSystems):
sys := DiffEquation([g[1]=1, g[2]=1], inputvariable = [b(t)], outputvariable = [a(t), b(t)]):
ts := 0.1:
t_sim := 10.0:
#in_t := Sine(1, 1, 0, 0):
#in_z := Sine(1, 1, 0, 0, samplecount = round(t_sim/ts), sampletime = ts, discrete):
in_t := t:
sol := Simulate(sys, [in_t]):
p1 := plots[odeplot](sol, [[t, a(t)]], t = 0 .. t_sim, numpoints = 200, color = red):
Error, (in DEtools/convertsys) unable to convert to an explicit first-order system
Error, (in plots/odeplot) input is not a valid dsolve/numeric solution

would like to draw the graph of x^2-1

with below sys instead of x^2-1 

sys := {-(1/2)*(-x-1+sqrt(-3*x^2-2*x-3))*(diff(y(a, b), b))/x^2+(diff(y(a, b), a))*(diff(y(a, b), b)), (1/2)*(x+1+sqrt(-3*x^2-2*x-3))*(diff(y(a, b), a))/x^2+(x^2+x+1)/x^4, (1/2)*(x+1+sqrt(-3*x^2-2*x-3))*(diff(y(a, b), a))/x^2-(1/2)*(-x-1+sqrt(-3*x^2-2*x-3))*(diff(y(a, b), b))/x^2+(x^2+x+1)/x^4};
IBC:={x=1,y(a,3)=(3-1)*(3+1),y(0,b)=0,y(1,b)=0}:
pds:=pdsolve(sys,IBC,numeric,spacestep=140);
plots[display]([seq(pds:−plot(v,t=i10),i=0..5)]):

 

I have a .mpl file containing some procedures and other code.
When I open the file, everything is placed in a single execution group
(I use 1D math, worksheet mode).

Is it possible to have distinct execution groups?
For example, after each two blank lines (or other separator) in the .mpl file.

The same question when using .txt files as Maple input (in this case the code being not executed).

Thank you.

f2 := (diff(y(a, b), a)-(-(1/2)*x-1/2+(1/2)*sqrt(-3*x^2-2*x-3))/x^2)*(diff(y(a, b), b)-(-(1/2)*x-1/2-(1/2)*sqrt(-3*x^2-2*x-3))/x^2);
f := collect(expand(f2), [diff(y(a,b),a),diff(y(a,b),b),diff(y(a,b),a)*diff(y(a,b),b)]);

Dear Maple users

In order to solve a problem in Biology, I have come across four equations with three unknowns, making it overdetermined. The equation system does not have any specific solutions, but since the equations can be considered containing errors, I am looking after the best possible solution - which will minimize the coefficients in the original equation system. My question is twofold:

1. Does there exist a specific Mathematical Theory to handle non-linear equation systems of this type?

2. Which command in Maple can solve it?

 

 

Regards,

Erik

 

Given some points, how do I find the polynomial/exponential function best matches them?

points are:[[1030, 0], [380, 34], [270, 73], [240, 150], [85, 700], [22, 2000], [12, 5000]]

And here is a image too.

Points

How do I multiply the 4x into the summation to get  (Sum(4*n*a[n]*x^(n), n = 0 .. infinity))  and same idea for the 3rd third?

Also, how do I go from   Sum(a[n-2]*x^(n-2), n = 2 .. infinity)  to  Sum(a[n]*x^(n), n = 0 .. infinity)  by manipulating the indices?

Is there any way to include EVERY possible, relevent function in the context sensitive menu?  I know this would be a lot so there will need to be submenus. 

 

Hello, I'm new to Maple and have a problem with making some electrical engineering.

I miss the unit VA (volt-ampere) which is used in AC. Maple won't recognize it and when I type it separately it changes to W (watt).

Hope someone can help me, thank!

By the way, how do you insert "Maple Code" in here?

I have written the following coade in Maple:
r := 50;
l1 := 0.2742e-10;
s := I*w;
l := (-1.342110665*10^22*c^2*(Pi^4)-4.225000000*10^25*c^2*(Pi^2)+2.316990000*10^11*c1*(Pi^2)-1)/(-1.342110665*10^22*c^2*c1*(Pi^4)-7.140250000*10^43*c^2*c1*r^2*(Pi^4)+1.957856550*10^33*c^2*(Pi^4)+9.789282750*10^32*c*c1*(Pi^4)-1.690000*10^22*c*(Pi^2)-4.22500*10^21*c1*(Pi^2));
z1 := (c*l1*s^2+1)/(c*s);
z2 := l*s/(c1*l*s^2+1);
h := (z1+2*z2)*((z1+2*r)*(z1+3*z2)/(2*r)-2*z2)/z2-(1/2)*z2*(z1+2*r)*r;
f := h*(z1+3*z2)/z2-(z1+2*r)(2*r)*(z1+3*z2)+2*z2;
gain := 2*z2/f;
a := abs(gain);
d := diff(a, w);
s := subs(w = 2*pi*0.325e11, d)
Now, I have a function named "s" which I want to set to zero, and calculate the relationship between variables c & c1 in order to achieve this. How should it be done?
Thanks.

Hi,

When I execute the command

series(exp(x),x)

and then refer to the equation in a new execution group using a equation label (CTRL-L on Windows), the equation is shown in Maple 18, but in Maple 2015 I get an error message: 'Error, missing operator or ';'. Using the % instead does work for both versions.

Is this intended behaviour or a bug in Maple 2015?

Thanks,

Bart

how to plot ln(sqrt(x-12)/(-x^(2)+15x)

Whenever I try to plot I get 

"Warning, unable to evaluate the function to numeric values in the region; complex values were detected".

HELP PLEASE

Hi everyone--my differential equations course is using Maple; this is my first time using the program and I am a little cofused. 

In a lab component we are told to take the differential equation " dy/dx = sin (x - y) " and substitute in y = ax+b, then determine which coeffecients of a and b should be in order to obtain a solution.

I have made many attemps at this substitution, but am encountering syntax errors no matter what I do:

http://imgur.com/WVQsUQy

 

I know the general equation would be written in Maple as

 

>

 

..which presents no problems for me, format-wise, and generates a nice output.

However, any iteration I've tried with substituting y = ax+ b has resulted in an error like those shown in the linked image above; I'd really appreciate it if someone could explain how I would do the substitution and maybe what I'm doing wrong, syntax-wise.

 

Thank you for your time!

I'm having trouble with using constrained optimization to solve a problem.

The problem is set up as:

Max: w=x1/2 y1/4

Subject to: K=x+4. K is a constant.

 

I'm not sure where to start.

Hi all,

I want to solve a cubic equation as is attached here. I solved it in my Maple file which is attached too. But mu result differs from that is showed in the picture. help me please.

 

 

Cubic_Eq.mw

 

 

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