Maple 2019 Questions and Posts

These are Posts and Questions associated with the product, Maple 2019

Perhaps a silly question but is it possible to stack two dataframe columns? When I use the Vector command the columns are stacked but nested.

Thank you for your help

Could any one please guide me how to show this solution by using Newton Raphson method. I need to show this solution step by step as shown in example.

Hi Community, I have solved the some basic expression by using built in command to get solution. Now i am interested to view the solution stp by step to show  my students of grade 10.

restart

t := x^6+2*x^5-3*x+2+(2*x^6-4*x+8)

3*x^6+2*x^5-7*x+10

(1)

p := 2*x^2-x-10

2*x^2-x-10

(2)

factor(p)

(x+2)*(2*x-5)

(3)

s := 2*x^2-x-10

2*x^2-x-10

(4)

solve(s = 0, {x})

{x = 5/2}, {x = -2}

(5)

sqrt(x-4) = 4

(x-4)^(1/2) = 4

(6)

solve(sqrt(x-4) = 4, {x})

{x = 20}

(7)

s := (x^2-9)/(x^2-2*x-15)

(x^2-9)/(x^2-2*x-15)

(8)

simplify(%)

(x-3)/(x-5)

(9)

(3*x^2-5*x)*(4*x^2+7*x+4)

(3*x^2-5*x)*(4*x^2+7*x+4)

(10)

expand(%)

12*x^4+x^3-23*x^2-20*x

(11)

``

Solving a system of equations:

x+2*y = 4

x+2*y = 4

(12)

3*x+4*y = 6

3*x+4*y = 6

(13)

solve({x+2*y = 4, 3*x+4*y = 6}, {x, y})

{x = -2, y = 3}

(14)

abs(3*x+3) = 12

3*abs(x+1) = 12

(15)

``

solve(abs(3*x+3) = 12, {x})

{x = 3}, {x = -5}

(16)

``

Download Help_to_view_solution_step_by_step.mw

I know you can filter a dataframe by putting constraints on the numeric columns. However, I would like to sort and filter based upon a given string in a column, is this possible? I cannot immediately find this in the help files. Thank you for your assistance.QuestionDataFrame.mw

Dear power users, I probably have 2 dummy questions, which I show in the attached worksheet. 

1. it looks to me that the equation can be further simplified than done by maple

2. is there a quick way in cleaning up the array by replacing the strings by something as NaN (not a number) so that I can use the array for numeric calculations?

Thank you for helping me out     Download Questions.mw

simplify((x^2-2)/(x-sqrt(2)))

(x^2-2)/(x-2^(1/2))

(1)

why is the above not simplifying to x+sqrt(2)

x+2^(1/2)

(2)

``

How can I replace the strings in the matrix below by something like NaN (not a number) so I can use it for further numeric calculations?

 

Error, invalid assignment

"dat:=[[124.0,124.0,22.0,2.2],[130.0,160.0,20.0,4.4],[130.0,129.0,26.0,4.3],[119.0,115.0,21.0,">2,6"],[136.0,129.0,30.0,4.9],[118.0,126.0,24.0,2.9],["NA / 101",115.0,20.0,3.0],[130.0,118.0,21.0,2.4],[95.0,94.0,25.0,3.4]]"

 

``

Download Questions.mw

Hey I’m trying to define a variable as the solution to a second order nonhomogeneous differential equation with an initial value problem.

I have tried the method below, but it doesn’t work.

N__1 := dsolve([diff(y(x), x, x) + 3*diff(y(x), x) + 2*y(x) = x^2 + 5, eval(y(x), x = 0) = 1, eval(diff(y(x), x), x = 0) = 1], y(x))

It kind of works it gives me the expression below

N__1 = y(x) = (3*exp(-2*x))/4 + 17/4 - (3*x)/2 + x^2/2 - 4*exp(-x)

But I need the expression for N__1 to define some initial values for N__2 and so on, what I have tried that doesn’t work is.

C := eval(N__1, x = 200)

N__2 := C   - Just because nothing much is happing on this interval

And it gives me the following expression for N2

N__2 := y(200) = (3*exp(-400))/4 + 78817/4 - 4*exp(-200)

I then make a piecewise function to make a function which I can plot, which use to work.                         

N := piecewise(0 <= x and x <= 200, N__1, 200 <= x and x <= 1000, eval(N__2, x = x - 200))

But when I’m trying to plot N maple gives me a warning message.

plot(N, x = 0 .. 1000)

Warning, expecting only range or variable x in expression piecewise ………………..  to be plotted but found name y.

If I define N__1 as the solution to the differential equation, then it works just fine.

N__1 := (3*exp(-2*x))/4 + 17/4 - (3*x)/2 + x^2/2 - 4*exp(-x)

But that I’m not interested in, because that will require a lot of copy paste all the time.

Thank you in advance.

Hey I’m trying to shift a function horizontally to the right.

I have the following 3 functions:

V1 := -x

V2:= -2*x + 4.95

V3:= -x + 1.665

Function V2 I want to shift l_1 to the right, and V3 I want to shift l_1 + l_2 to the right.

I know I can do this manually by define the functions:

V2:= -2*(x-l_1) + 4.95

V3:= -(x-l_1-l_2) + 1.665

Where l_1:=1.665 and l_2:=4.95

Is there a way to do this without typing it manually?

By the way it’s only for plotting, so it’s not necessary for me to actually define them, if there is a way to do it within a plot some how.

Thank you in advance.

Hey I’m trying to define the antiderivative for a function:

g(x) = 1

G(x) = int(g(x),x)

When I then type:

G(x) and press enter Maple gives me G(x) = x which of course is correct

But I can’t type:

G(5)

Then it gives me the error message:

Error, (in int) integration range or variable must be specified in the second argument, got 5

How to fix this?

I know I can type G(x) = x manually but I’m not interested in doing so, because in my document I’m going to have a lot of antiderivatives.

Thanks in advance.

How to make the matrix construction by points animated?
I sketched this code - it doesn't work(((
 

a := Matrix([stoimostyM, izmeniya]);
plots[animate](plot, [a[n, m]], n = 1 .. 2970, m = 1 .. 2, numpoints = 50, frames = 100);
Error, bad index into Matrix

4/(9*n + 7*sqrt(n)) <= 4/(9*n + 7*sqrt(n))

Hi I am trying to plot in maple but the plot I get is not the one I expect I have attached the maple file and the expected image below. Any help would be appreciated. 

 

 

This is perhaps a stupid question, when I use the ScientificConstant package and call a constant e.g. R this works smoothly. But when I assign the value to a variable to use it in a calculation Maple complains about the units. However, if I assign the constant manually (without using GetConstant) Maple has no issues in solving. Is there a trick to use such a constant in a calculation? I have attached a worksheet to illustrate my question better. Thank you in advance for helping me out.GetConstantQuestion.mw

Hi, I am looking for the solution of a nonlinear differential equation. I have already solved by uisng analytical method and i am interested to compare my results with numerical solution. For detail please find my maple work sheet.

Numeric_and_analytic_solution.mw

Hello

I want to declare 'd' as a constant.

Please tell me how to declare 'd' as a constant.

I need the Infinitesimals(Lie group analysis) of the system of PDE. I have attached below the system of PDE in MAPLE given below.MAPLE_Help.mw

Thank you

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