## HOW to dsolve fractional differential boundary con...

HOW to dsolve fractional differential boundary conditions?

## How to solve a simple PDE?...

I want to solve the system of differential equations
sys :=
diff(x(t,s),t) = y(t,s),
diff(y(t,s),t) + x(t,s) = 0;

subject to the initial condition
ic := x(0,s) = a(s),
y(0,s) = b(s);

where a(s) and b(s) are given.

This looks like a system of PDEs but actually it is a system
of ODEs because there are no derivatives with respect to s.
It is easy to obtain the solution by hand:

x(t,s) = b(s)*sin(t) + a(s)*cos(t)
y(t,s) = b(s)*cos(t) - a(s)*sin(t)

I don't know how to get this in Maple, either through dsolve()
or pdsolve().

Actually both dsolve({sys}) and pdsolve({sys}) do return
the correct general solution, however dsolve({sys, ic})
or pdsolve({sys, ic}) produce no output.  Is there a trick
to make the latter work?

## variable programing?...

hey is there a easy way to make maple solve an equation with similar different variables,

for eksample

defining the different variables

x_0:=1       x_1:=4           x_2:=10

setting up and equation

solve x * 5

recieving answers for all defined x variables

= [5,20,50]

## Is there a means to display a colored title or cap...

The font plot option has no color parameter.

## An error in if statement...

Dear all,

I use the following statment (without numerical values)

if        IT<20     then        IT:=IT+1

if    ZUM<(0.1)^(8);    IT=20;         else;

for i from 1 to 10   do                               YU[i]:=U[i];                  od;

for i from 2 to 9 do                           DU1:=YU[i+1]- YU[i-1];        od:

end if;

ZUM:=U[1]-YU[1];

end if;

the following error occur

where is the problem.

## differential equation...

i want to solve this equation,

y''(x)=5*exp(-10/y'(x)) on ]0,15[ with y(0)=0,y(15)=2

can any one help me ? thank you

## Rotate 2-D plot around x-axis...

Hello

I have question. How can I rotate this 2-D plot and create 3-D plot?

plot(exp(-(x-3)^2*cos(4*(x-3))),x=1..5)

Thank you.

## how do I remove the error "initial Newton iteratio...

Respected member!

 >
 >
 >
 >
 >
 >
 >
 (1)
 >
 (2)
 >
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## can you color a certain part of a 2d plot, for ins...

Dear community,

I'm new to maple and was wondering if you could help me out.

I have this curve where I want to make a line that goes from x=0.5 up to its value on the curve in this case 1.60 and then all the way to the y-axis so there is an area under the curve which I can color if that's even possible?

I have the following in maple:

k := 2.5;
2.5
Ca0 := 1;
1
v := 20;
20
Ca := Ca0*(1-x);
1 - x
Fa0 := Ca0*v;
20
Cb := Ca0*x;
x
ra := k*Ca*Cb;
2.5 (1 - x) x
plot(1/ra, x = 0 .. 1);

Best Regards

## How to integrate a procedure properly?...

I recently encontered a very strange result.

Lets define the procedure:

```Fg := proc(x0,y0)
if (x0>=0)and(x0<=3) and (y0<=x0+2) and (y0>=x0-1) and (y0>=0) and (y0 <=3) then
return y0*(3-y0)*x0*(3-x0)*(x0+2-y0)*(y0-x0+1);
else
return 0;
end if:
end proc:```

The plot looks like needed:

`plot3d('Fg'(x,y), x=0..3, y=0..3);`

But integration returns weird result:

`evalf(Int('Fg'(x,y), [x=0..1, y=0..2.1]));`

7.888753239

`evalf(Int('Fg'(x,y), [x=0..1, y=0..2.2]));`

Error, (in evalf/int) when calling 'Fg'. Received: 'cannot determine if this expression is true or false: 0 <= x and x <= 3 and y <= x+2 and x-1 <= y and 0 <= y and y <= 3'

## Error, (in PDEtools/pdsolve) invalid input: `pdsol...

hi...i have a problem with pdsolve this equations?

thanks

mt.mw

Maple Worksheet - Error

Failed to load the worksheet /maplenet/convert/mt.mw .

## How to use substition with functions?...

Consider substutition with use of a function:

`subs(F(x,y)=f(x)+g(y), F(x,y));`

As expected, Maple returns the proper answer:

f(x)+g(y)

But

`subs(F(x,y)=f(x)+g(y), F(x,x));`

returns

F(x,x)

How to force Maple recognize F as a function, in order to obtain

f(x)+g(x)

in return?

The functions algsubs, applyrule work in the same way.

## How to hide the commands in a quiz created with Ma...

Hi, I try to create quizes in Maple 2016, but I don't know how to hide the Maple commands. Is it possible?

I'd like my students to see only

when they access the quiz. Any help will be highly appreciated. Thank you.

## Minimum cost of a TRP...

Experts.

I'm trying to solve a Truck Routing Problem. I set in up in Maple and Excel, but I get a smaller minimum in the spreadsheet, than in Maple. Its like as if I havn't generated enough possible routes, even though i feel i've done an exaustive search. I realise the distance matrix violates the triangle inequality.  Any suggestions....

TRP_14x3.mw

## How to convert an imported data to Vector?...

A very big data was imported by me through

```data := Import("http://fs3.fex.net/get/245716150875/11071260/data.txt");
"3.0994584798345
22.889020258043
....

26.082759642081
42.911810680717
6.4578968130322"

```

I need to convert it to Vector/Array. Now its type is "string":

```whattype(data);
string
```

Here is my unsuccessful attempt:

```convert(data,Vector);
Error, invalid input: `convert/Vector` expects its 1st argument, V, to be of type {Array, Matrix, Vector, array, sequential}, but received 3.0994584798345
22.889020258043
....```

data.mw

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