How can I plot the contours with label for the following?

The Code is as follows:

z := -y + sech(x - 3*t);

w := 10*sech(x - 3*t);

with(plots);

P1 := plot(eval(w, t = 0), x = -10 .. 10):
P2 := contourplot(eval(z, t = 0), x = -10 .. 10, y = -eval(w, t = 0) .. eval(w, t = 0), contours = 5, grid = [101, 101]):
display(P1, P2);

Thanks

I assume I'm missing the verb here, but how does one display the elements of a vector and an array?

I can only do it with browsing or changing the "number format". 
 

Download Vector_Display_Problem.mw

I get error on Maple code 

N := 4

f(x):=sum(p^i*fi, i = 0 .. N);

HPMEq := (1-p)(diff(f(x), x$3))+p(diff(f(x), x$3)+(1/2)(diff(f(x), x, x))*f(x));

for i from 0 to N do equ[2][i] := coeff(HPMEq, p, i) = 0 end do

Error, unable to compute coeff

I'm trying to solve this schrodinger equation for a quantum oscillator:

E = n + 1/2 where n = 0,1,2,3,4

If I just use dsolve then I get a bunch of Bessell functions and I'm not sure why.

Can anyone point me in the right direction?

Thanks.

How can I analytially evaluate the following definite integral ?

int(1/(c*x + d), x = a .. b)

My Output is as follows:

Thanks.

is there any library or tools to design index of Grassmannian and its k and n for Schubert use?

is there any library to relate poset with index of Grassmannian and its k and n for Schubert use

        Hello, everyone,I can not find a function that can do convolution, so if you know please tell me. Thanks!

what is the Taylor Series of

F(x,y+q,G(x+q,z) )

where x,y,z is variables and q is constant

Just a quick question, I know we can use "%" to obtain the las result in maple. what if I want to obtain the second last result? or in general the n-last result ? Thx

Hi, I'm trying to solve 1-D thermal equation defined below, but I end up with an error : Error, (in pdsolve/numeric/process_PDEs) PDEs can only contain dependent variables with direct dependence on the independent variables of the problem, got {f(t, 1)}.

Could you please point out what am I doing wrong? Perhaps it's how I define the PDe or how I write the boundaries? Any help appreciated!

with(PDEtools)

PDE := cp*diff(T(t, r), t) - k_1*diff(diff(T(t, r), r), r) - k_1*diff(T(t, r), r)/r = Q;

all variables for now have dummy values of 1     

cp := 1;
k_2 := 1;
A := 1;
k_3 := 1;
k_4 := 1;
k_5 := 1;
k_6 := 1;
T_amb := 1;

bcs_1 := eval(diff(T(t, r), r), r = 1) = k_3*T_amb;

bcs_2 := eval(diff(T(t, r), r), r = 0) = 0;
 
bcs_3 := eval(diff(T(t, r), t), t = 0) = 25;

PDE_all := {PDE, bcs_1, bcs_2, bcs_3};

sol := pdsolve(PDE_all, numeric);
Error, (in pdsolve/numeric/process_PDEs) PDEs can only contain dependent variables with direct dependence on the independent variables of the problem, got {f(t, 1)}
 

Int not working with GlobalSolve why? It shows that bounds should be specified to all variable. but i have given bounds to all variables already. Thank you

How do I solve an overdetermined system of algebraic equations in Maple? solve command returns trivial solution for variables which are not actually trivial when I solve them by hand.

Hi all

When I solve using maple the first-order differential equation: diff(y,x)=0  for x in the closed interval [0,1] we obtain a constant function as a solution

but one can define the piecewise constant function see please the attached code

diff_piecewise.mw

why when we differentiate the piecewise function gives undefined derivative at point zero and a half.

Whats is the relationship between this example and Existence and uniqueness theorem for fist order ode

Many thanks