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i want to write a expression without any quotes...

Asked by: kambiz1199 170
December 02 2019
1  2

i want to write a expression without any quotes . for example in this case i want to wrate E*1    E*2 

Error, (in dsolve/numeric/process_input) system mu...

Asked by: fatemeh1090 65
December 01 2019
1  3

I can remove this error.?

question regarding completeSquare command?...

Asked by: MapleUser2017 175
polynomial completesquare
December 01 2019
0  6

I if a run the CompleteSquare command 

 

CompleteSquare(x^2 + y^2 - 2*x - y - 2 = 10, x, y)

the output is (y - 1/2)^2 + (x - 1)^2 - 13/4 = 10

Why does it places the y's before the x's? 

Gcd of polynomials with scalars...

Asked by: HS 40
homework gcd
December 01 2019
1  4

How do I compute the gcd of polynomials with scalars e.g. how to compute gcd (x^9-a, bx^6-c )  as polynomials in x.   https://www.maplesoft.com/support/help/Maple/view.aspx?path=Task/GCDofPolynomials   here I don't see how to specify the polynomials are in x.

Will Maple work on Pine laptop with Arm cpu?...

Asked by: leouam 25
platform arm
December 01 2019
2  4

Is the linux version of Maple architecture dependent? 

Error, (in dsolve/numeric/BVPSolve) argument #4, t...

Asked by: NaeemQau 5
ode dsolve numeric
December 01 2019
0  8

Hi everyone, I have a problem in the code solving coupled partial differential equations. I could not find out the solution. Please help me out with this. Find the code in the attachment.

2nd derivative implicit differentiation...

Asked by: HS 40
implicit-differentation
November 30 2019
1  1

I didn't understand what the page on implicit differentiation meant by 2nd derivatives are just like in using diff    Like this  implicitdiff(y^2 = x^3+a*x+b, y, x, [x$n]) ??  idk 

Using Maple to solve a Second Order ODE...

Asked by: Jjjones98 45
ode dsolve differential-equations
November 30 2019
0  1

I have the following ODE which I would like to solve with Maple rather than solving by hand (having solved this type of equation by hand many times now):

diff(f(x,y,z),z$2) = A - B*e^(-A*z)

where A and B are constants and I have indicated the second derivative of a function of x,y and z with respect to z.  

Plot is not matching...

Asked by: 666 jvbasha 130
ode dsolve differential-equations
November 29 2019
0  6

Dear maple users,
Greetings.
I am solving an ode problem with an analytical solution.
programming running properly, but my plot not exact with the already existing article plot. 
how to get the exact plot.

Thanking you.

Code:JVB.mw
 

> 

restart
> 

N := 3;

3

  

1

 (1)
> 

dsolve(diff(f(x), `$`(x, 3)));

f(x) = (1/2)*_C1*x^2+_C2*x+_C3

 (2)
> 

Rf := 2*(diff(f[m-1](x), x, x, x))-(2*mh*mh)*(diff(f[m-1](x), x))+sum(f[m-1-n](x)*(diff(f[n](x), x)), n = 0 .. m-1)-bet*(sum(sum(2*f[m-1-n](x)*(diff(f[n-t](x), x))*(diff(f[t](x), x, x))+f[m-1-n](x)*f[n-t](x)*(diff(f[t](x), x, x, x))+x*(diff(f[m-1-n](x), x))*(diff(f[n-t](x), x))*(diff(f[t](x), x, x)), t = 0 .. n), n = 0 .. m-1));

2*(diff(diff(diff(f[m-1](x), x), x), x))-2*(diff(f[m-1](x), x))+sum(f[m-1-n](x)*(diff(f[n](x), x)), n = 0 .. m-1)-.2*(sum(sum(2*f[m-1-n](x)*(diff(f[n-t](x), x))*(diff(diff(f[t](x), x), x))+f[m-1-n](x)*f[n-t](x)*(diff(diff(diff(f[t](x), x), x), x))+x*(diff(f[m-1-n](x), x))*(diff(f[n-t](x), x))*(diff(diff(f[t](x), x), x)), t = 0 .. n), n = 0 .. m-1))

 (3)
> 

dsolve(diff(f[m](x), x, x, x)-CHI[m]*(diff(f[m-1](x), x, x, x)) = h*H*Rf, f[m](x));

f[m](x) = Int(Int(Int(CHI[m]*(diff(diff(diff(f[m-1](x), x), x), x))+2*h*(diff(diff(diff(f[m-1](x), x), x), x))-2*h*(diff(f[m-1](x), x))+h*(sum(f[m-1-n](x)*(diff(f[n](x), x)), n = 0 .. m-1))-(1/5)*h*(sum(sum(2*f[m-1-n](x)*(diff(f[n-t](x), x))*(diff(diff(f[t](x), x), x))+f[m-1-n](x)*f[n-t](x)*(diff(diff(diff(f[t](x), x), x), x))+x*(diff(f[m-1-n](x), x))*(diff(f[n-t](x), x))*(diff(diff(f[t](x), x), x)), t = 0 .. n), n = 0 .. m-1)), x), x)+_C1*x, x)+_C2*x+_C3

 (4)
> 

f[0](x) := 1-exp(x);

1-exp(x)

 (5)
> 

for m to N do CHI[m] := `if`(m > 1, 1, 0); f[m](x) := int(int(int(2*CHI[m]*(diff(f[m-1](x), x, x, x))-(2*h*H*mh*mh)*(diff(f[m-1](x), x))+h*H*(sum(f[m-1-n](x)*(diff(f[n](x), x)), n = 0 .. m-1)), x)-h*H*(sum(sum(2*f[m-1-n](x)*(diff(f[n-t](x), x))*(diff(f[t](x), x, x))+f[m-1-n](x)*f[n-t](x)*(diff(f[t](x), x, x, x))+x*(diff(f[m-1-n](x), x))*(diff(f[n-t](x), x))*(diff(f[t](x), x, x)), t = 0 .. n), n = 0 .. m-1))*bet, x)+_C1*x, x)+_C2*x+_C3; s1 := evalf(subs(x = 0, f[m](x))) = 0; s2 := evalf(subs(x = 0, diff(f[m](x), x))) = 0; s3 := evalf(subs(x = 1, f[m](x))) = 0; s := {s1, s2, s3}; f[m](x) := simplify(subs(solve(s, {_C1, _C2, _C3}), f[m](x))) end do:
> 

f(x) := sum(f[l](x), l = 0 .. N);

1-0.7644444444e-1*exp(5.*x)*h^2*x-0.1333333333e-1*x^2*exp(5.*x)*h^2-2.675700596*exp(2.*x)*h^2*x-0.5876096022e-1*exp(6.*x)*h^3*x-0.9282030175e-2*x^2*exp(6.*x)*h^3+.9962792493*exp(3.*x)*h^3*x+.1647896790*exp(5.*x)*h^3*x+0.2066962962e-1*x^2*exp(5.*x)*h^3+3.357118680*exp(2.*x)*h^3*x-.3264340965*exp(4.*x)*h^3*x+0.3999999998e-1*exp(2.*x)*ln(exp(x))*h^2+58.61348006*h^3+1.023148148*h^2*x^3+0.1364197531e-1*ln(exp(x))*h^3*x^3-0.8954734530e-1*exp(2.*x)*h^3*x^4-.1353159884*x^3*exp(4.*x)*h^3+.7542645986*exp(3.*x)*h^3*x^2-0.2830138323e-1*x^3*h^3*exp(3.*x)-0.6455420536e-1*exp(x)*h^3*ln(exp(x))*x+0.4775858416e-1*exp(x)*h^3*ln(exp(x))*x^2+0.8888888887e-3*exp(x)*h^3*ln(exp(x))^2+8.400000000*h*exp(x)-exp(x)-0.6666666666e-1*h*ln(exp(x))+.1416666666*exp(4.*x)*h^2*x-.4790123458*exp(3.*x)*h^2*x+.1333333333*exp(3.*x)*h*x+.3791666665*exp(4.*x)*h^2-1.340020575*exp(3.*x)*h^2+.3111111109*exp(3.*x)*h+5.570191338*h^2*exp(2.*x)-.4500000000*h*exp(2.*x)-0.9874869443e-1*exp(6.*x)*h^3+.4125877323*exp(3.*x)*h^3-4.984787877*h^3*exp(2.*x)-.8010958741*exp(4.*x)*h^3+.3215641638*exp(5.*x)*h^3-5.930474628*h^2*x+36.04284024*exp(x)*h^3*x+8.324321524*x^2*h^2-.5362260993*h^3*x^3-6.207072379*exp(x)*x^2*h^3+1.664189246*exp(x)*h^3*x^3-8.237962963*h+.1200000000*exp(x)*h^2*ln(exp(x))+0.2222222222e-1*exp(3*x)*h*x+24.00299428*h^3*x-2.098561083*x^2*h^3-53.48457977*h^3*exp(x)+0.9949705035e-2*ln(exp(x))*h^3*x^4-0.7308641971e-2*ln(exp(x))*exp(4.*x)*h^3+0.8984910834e-2*ln(exp(x))*exp(3.*x)*h^3-0.3741666666e-1*ln(exp(x))*h^3*exp(2.*x)-.1188740741*exp(5.*x)*h^2-12.53662834*x^2*h+25.90916526*h^2*exp(x)-30.39962862*h^2-0.7499999999e-1*h*exp(2*x)+0.5185185185e-1*exp(3*x)*h+5.372840718*exp(x)*x^2*h^2-25.09181716*exp(x)*h^2*x+0.8976305409e-1*h^3*x^5+0.2158026099e-1*exp(7.*x)*h^3+0.8606919260e-1*h^3*x^4+0.5079365079e-3*x^3*exp(7.*x)*h^3-.3215468487*x^2*exp(4.*x)*h^3+0.1762236380e-1*exp(7.*x)*h^3*x+0.5048727639e-2*exp(7.*x)*x^2*h^3-3.116709690*exp(2.*x)*x^2*h^3+.1066289908*exp(2.*x)*h^3*x^3-8.527777777*h*x-0.2814814814e-2*ln(exp(x))*exp(4.*x)*h^3*x-0.1053497943e-2*ln(exp(x))*exp(3.*x)*h^3*x+0.4848332783e-1*h^3*x^6+.7462278773*h^2*x^4+.5519508187*exp(x)*h^3*x^4+0.9367631194e-1*exp(x)*h^3*ln(exp(x))+3.581893812*exp(2.*x)*x^2*h^2

  

 
> 

NULL


 

Download JVB.mw

 

Analytical solution approach:

 

 

 

 

supremum of function ...

Asked by: Zeineb 540
homework sequence maximize
November 29 2019
0  1

Dear all

I hope to find the supremum of the sequence of the function using maple 18, but when I run the code there is no results

maximize.mw

Many thanks

 

 

Solving a linear system of equations different fro...

Asked by: Carla Conde 35
transpose linearalgebra linear-algebra
November 29 2019
1  4

Dear, 

Please, I would like to ask your help with the following situation: 

If we have to solve in Maple a linear system like A.x =b, we employ the command Linsolve. However, how can I solve a system like x.A=b? 

The only method I know is to compute x=b.A-1. Is this an efficient method or there is a better one you recommend? 

Many thanks for your help.  

Why do I get different result in maple and python?...

Asked by: alexk213 5
precision evaluation
November 29 2019
1  6

phi:=(j,x)->piecewise(j=0,exp(x),1/(j-1)!*Integrate(exp((1-theta)*x)*theta^(j-1),theta=0..1))

I want 15 digits after the dot, so I set Digits:=15

Setting j=3, x=0.01 I received

phi(j,x)=0.167084168060000

 

Doing the same in python I receive

0.16708416805754214

A strange behaviour of the display...

Asked by: sand15 872
logplot plotting
November 29 2019
0  9

Hi, 

Here are two sequences of commands that should give the same kind of plots. But, while the first one returns the expected display, the second doesn't (look to the labels on the histogram plot).

There is no hidden character that could explain this second display. Just that I proceeded this way:

  1. I executed the second sequence once.
  2. Then I told myself that displaying the histogram was superfluous, so I replaced its final semicolon with a colon.
  3. And I finally thought that, no, the histogram had a real interest and that I should display it; and I restored the semcolon (this is what you can see on the second sequence).
    And this add to the histogram the labels inherited from the second plot ...

Nothing dramatic here, but was the development team aware of this curiosity?
 

 

> 

restart:
> 

N := 10:
S := Statistics:-Sample(Normal(0, 1), 10)^+:
Statistics:-Histogram(S);
plots:-logplot(<  < [$1..N]> | S >, labels=["A", "B"]);
 

 

 
> 

restart:
> 

N := 10:
S := Statistics:-Sample(Normal(0, 1), 10)^+:
Statistics:-Histogram(S);
plots:-logplot(<  < [$1..N]> | S >, labels=["A", "B"]);

 

 
> 

 


 

Download Strange_display.mw

How can I plot a function from higher to lower val...

Asked by: amirhadiz 35
axis reverse plotting
November 29 2019
0  1

My question deals with plotting a function, namely, x(t), from lower to higher values of t.

To this aim, I solved a simple differential equation with given initial conditions and then plotted for the result.

As it is seen, maple starts from lower values of t to higher ones. However, is there a command through which I can reverse the plotting procedure?  

From the attached file, "A question on plotting", we see that the slope of the curve at t=2 is positive when we observe it from "left to right". However, this slope is negative once we start plotting from "right to left".

Is there any command with which I can start plotting from right to left? or change of axis origin?

I would appreciate for your kind help and support.

My best regards

Hadi

 

Remove Big O terms...

Asked by: Stretto 260
duplicate-question big-o notation
November 28 2019
1  7

(D@@2)(T)(0) + :-O(1) + 1/2*sin(1/2*Pi*T(x))^2 + 1/12*sin(1/2*Pi*T(x))*Pi*diff(T(x), x)*cos(1/2*Pi*T(x)) + :-O(2/3*(3/2*Pi^2*diff(T(x), x)*cos(1/2*Pi*T(x))^2*diff(T(x), x, x) - Pi^3*diff(T(x), x)^3*cos(1/2*Pi*T(x))*sin(1/2*Pi*T(x)) + sin(1/2*Pi*T(x))*Pi*diff(T(x), x, x, x)*cos(1/2*Pi*T(x)) - 3/2*sin(1/2*Pi*T(x))^2*Pi^2*diff(T(x), x, x)*diff(T(x), x))/Pi^2)

 

How can I remove the Big O terms from an expression?

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