## how to plot these equations ...

Asked by:

i want to plot this equations for P and t for  t= 0 t0 600 seconds..can u provide me how?

time-dependent_aerodynamic_pressure.mw

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Download time-dependent_aerodynamic_pressure.mw

## How to split a square Matrix...

Asked by:

Hi!

I hope everyone is fine. I have a square matrix like the following form
A := Matrix([[10, -1, 2, 0], [-1, 11, -1, 3], [2, -1, 10, -1], [0, 3, -1, 8]]);
How to split A into three matrices D, L and U as:

D:= Matrix([[10, 0, 0, 0], [0, 11, 0, 0], [0, 0, 10, 0], [0, 0, 0, 8]]);
L := Matrix([[0, 0, 0, 0], [-1, 0, 0, 0], [2, -1, 0, 0], [0, 3, -1, 0]]);
U := Matrix([[0, -1, 2, 0], [0, 0, -1, 3], [0, 0, 0, -1], [0, 0, 0, 0]]);

I am waiting for your positive response. Please take care

## Need to Solve Nonlinear ODE...

Asked by:

Hello Everyone;

I need to solve the following nonlinear ODE

C*diff(y(x), x) + (-B0*y(x)^3 - B1*y(x)^2 - B2*y(x) - B3) = 0, y(0)=B4

where B0,B1,B2,B3 and B4 are constants. I am trying in Maple 2021, but receiving solution in the form of integral. Is that any other ways that I will be able exact solution. Maple sheet is atatched. I am waiting for your kind respose.

Thanks

Question1.mw

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 Methods for first order ODEs:
 --- Trying classification methods ---
 trying a quadrature
 trying 1st order linear
 trying Bernoulli
 trying separable
 <- separable successful
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 Methods for first order ODEs:
 --- Trying classification methods ---
 trying a quadrature
 trying 1st order linear
 trying Bernoulli
 trying separable
 <- separable successful
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Download Question1.mw

## How do I create a product of list elements...

Asked by:

Hello,

I want to create an product expression from all list elements,

e.g.

expr := createproduct([a,b,c,d,1]);

expr:= a*b*c*d

Context; I'd like to apply a function on all factos of a polynomial. I can easily map(fun,factors(apolynomial)) which will output a list. However I do not know how to get back.

Thanks for your comments!

## i can't log on to my maplesoft account...

Asked by:

When i try to log on to my maplesoft acount on Maple 2023 i get a messeage saying "Sign in Error: Please check your credentials and try again." i have done this multiple time double checked my password and everything, but it won't let me log on... what do i do?

## Phasors doesn't recognize phasors?...

Asked by:

Hi @Acer, and of course also hi to the whole mapleprimes comunnity.

I have a problem with the Phasors module. Very often I have to use the in calculations involving phasors. Sometimes it might make sense, since one of the involved variables are not defined as a phasor.

May I suggest that you upgrade the phasors module to a package Acer? I'd be honored to help in the testing.

Besides I have the same experience as mentioned in this question (bear over with me it's years since already): Maple 2020 Sheet now opening in 2021, 2022, and 2023 results in errors.

attached some examples:

Eksempel_8.2.mw

Example_12.3.mw

Eksempel_14.5.mw

Opgave_4_-_SHS_-_RA_ref-UL1.mw

Opgave_4_-_SHS_-_RA_ref-UL1_using_context_menu.mw

## why 'solve' can not obtain results...

Asked by:

Hi everyone.

Could you please help me to obtain the results by 'solve'?

Is there any way such as numerical methods in this regard?

Fung.mws

## Why can't I see the VA and var units...

Asked by:

Hi,

I'm just working on som electricity tasks and have to calculate thre phase power in alternating current systems. I use the SI system and have checked that with UsingSystem() -> SI and GetUnits() -> voltampere[power], voltampere_reactive[power] among others, so everything should be alright, but why can't I then choose theese units from neither the Units Palette, the Context Panel or right click menu option Convert Output Units?

convert(expr, units, var) and convert(expr, units, VA) works but my students and colleagues won't be satisfied with that.

Thank you for any help.

## remove frames arround legend in graph ...

Asked by:

Is there a way to delete frames arround the legend in a plot?

## Distribute Hermitian Transpose...

Asked by:

Hi,

I'm trying to figure out how to get the HermitianTranpose vector to distribute over a sum of vectors. Maple seems to want to ignore the linearity of the conjugate operation.

See the example code attached.

Thanks.

 (1)

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Download DistributeHermitian.mw

## Copying this continued fraction in Word?...

Asked by:

Hi,

Just to inform me about the technical possibility of copying this continued fraction in Word?

Thanks

ContFrac.mw

## Maple 2020 Sheet now opening in 2021, 2022, and 20...

Asked by:

I have a calculation sheet that used to work in Maple 2020 and earlier, but with an upgrade to versions 2021 to 2023 the same errors are appearing. The sheet still functions fine in 2020 but unknown why these errors appear when using 2021 thru 2023.

Does anyone know what might have changed with the later versions to result in these types of errors?

## How do I vary the action that I write in attachmen...

Asked by:

Hi . My question is about writing a gravity equation, which I explained comprehensively I  explain in the PDF linked below, and I need the code for this equation in Maple.

My_Question2.pdf

## How to write the equation of the planes tangent to...

Asked by:

list:= [[-12, 3, 5], [-11, -2, 5], [-11, -1, 2], [-11, -1, 8], [-11, 0,
1], [-11, 0, 9], [-11, 3, 0], [-11, 3, 10], [-11, 6, 1], [-11, 6,
9], [-11, 7, 2], [-11, 7, 8], [-11, 8, 5], [-4, -9, 5], [-4,
3, -7], [-4, 3, 17], [-4, 15, 5], [-3, -9, 2], [-3, -9, 8], [-3,
0, -7], [-3, 0, 17], [-3, 6, -7], [-3, 6, 17], [-3, 15, 2], [-3, 15,
8], [-2, -9, 1], [-2, -9, 9], [-2, -1, -7], [-2, -1, 17], [-2,
7, -7], [-2, 7, 17], [-2, 15, 1], [-2, 15, 9], [1, -10, 5], [1, -9,
0], [1, -9, 10], [1, -2, -7], [1, -2, 17], [1, 3, -8], [1, 3,
18], [1, 8, -7], [1, 8, 17], [1, 15, 0], [1, 15, 10], [1, 16,
5], [4, -9, 1], [4, -9, 9], [4, -1, -7], [4, -1, 17], [4,
7, -7], [4, 7, 17], [4, 15, 1], [4, 15, 9], [5, -9, 2], [5, -9,
8], [5, 0, -7], [5, 0, 17], [5, 6, -7], [5, 6, 17], [5, 15, 2], [5,
15, 8], [6, -9, 5], [6, 3, -7], [6, 3, 17], [6, 15, 5], [13, -2,
5], [13, -1, 2], [13, -1, 8], [13, 0, 1], [13, 0, 9], [13, 3,
0], [13, 3, 10], [13, 6, 1], [13, 6, 9], [13, 7, 2], [13, 7,
8], [13, 8, 5], [14, 3, 5]];
These points are lies on the sphere (x - 1)^2 + (y - 3)^2 + (z - 5)^2 = 13^2. How to write the equation of the planes tangent to the sphere at the points in the list? This is some equations.
I tried

restart;
with(geom3d);
L := [[-12, 3, 5], [-11, -2, 5], [-11, -1, 2], [-11, -1, 8], [-11, 0, 1], [-11, 0, 9], [-11, 3, 0], [-11, 3, 10], [-11, 6, 1], [-11, 6, 9], [-11, 7, 2], [-11, 7, 8], [-11, 8, 5], [-4, -9, 5], [-4, 3, -7], [-4, 3, 17], [-4, 15, 5], [-3, -9, 2], [-3, -9, 8], [-3, 0, -7], [-3, 0, 17], [-3, 6, -7], [-3, 6, 17], [-3, 15, 2], [-3, 15, 8], [-2, -9, 1], [-2, -9, 9], [-2, -1, -7], [-2, -1, 17], [-2, 7, -7], [-2, 7, 17], [-2, 15, 1], [-2, 15, 9], [1, -10, 5], [1, -9, 0], [1, -9, 10], [1, -2, -7], [1, -2, 17], [1, 3, -8], [1, 3, 18], [1, 8, -7], [1, 8, 17], [1, 15, 0], [1, 15, 10], [1, 16, 5], [4, -9, 1], [4, -9, 9], [4, -1, -7], [4, -1, 17], [4, 7, -7], [4, 7, 17], [4, 15, 1], [4, 15, 9], [5, -9, 2], [5, -9, 8], [5, 0, -7], [5, 0, 17], [5, 6, -7], [5, 6, 17], [5, 15, 2], [5, 15, 8], [6, -9, 5], [6, 3, -7], [6, 3, 17], [6, 15, 5], [13, -2, 5], [13, -1, 2], [13, -1, 8], [13, 0, 1], [13, 0, 9], [13, 3, 0], [13, 3, 10], [13, 6, 1], [13, 6, 9], [13, 7, 2], [13, 7, 8], [13, 8, 5], [14, 3, 5]];
eqS := Equation(sphere(S, (x - 1)^2 + (y - 3)^2 + (z - 5)^2 - 169 = 0, [x, y, z], 'centername' = T));
k := [seq](sort(Equation(TangentPlane(P, S, point(A, pt[])), [x, y, z])), pt in L);
seq([L[i], k[i]], i = 1 .. nops(L));

I get

With each equation has the form a*x  + b*y + c*x + d=0, how can I get in the form igcd(a,b,c,d) = 1 and a >0. If a = 0, then b>0; If b = 0, then c>0.

PS. I use this expr := sort(primpart(3*x + 6*y + 12));
expr*signum(lcoeff(expr)) = 0;

But I do not know use it in the seq k

## System of two equations and evaluate...

Asked by:
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 > WhyNot3 := proc (alpha, delta) if not [alpha, delta]::(list(numeric)) then return ('procname')(args) end if; FirmModelHmax(alpha, .2, delta)[3] end proc: pltHmax1 := plot(   [seq(WhyNot3(alpha, delta),delta=0.1..0.5,0.2)]     , alpha=0..2/(2 + 0.2*(1 - sqrt((c - s)/(v - s))))        , linestyle=[dot,dashdot,dash]       , legend=[seq('delta'=delta,delta=0.1..0.5,0.2)]       , legendstyle=[location=left]       , labels=["alpha","Firm profit"]       , labeldirections =["horizontal", "vertical"]     , legendstyle=[location=bottom] ): display(pltHmax1)
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Download HmaxProc.mw

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