Looking at  http://www.maplesoft.com/support/help/maple/view.aspx?path=ImageTools

and

http://www.maplesoft.com/support/help/maple/view.aspx?path=ImageTools%2fFormats

it seems to only support jpeg,tiff,bmp.

This seems like something from 1980's days. Is there another package to load other image formats? Such as png for example, and to export as png?

I'd like to import png file, rescale it in Maple (make thumbnail image) and export it again.

I am using 18.1 on windows 7

restart;
ode := (-6 + 3*x - 3*x^2 + 2*x^3)*y(x) + x*(6 - 3*x + x^3)*diff(y(x),x) + x^2*(-3 + 3*x - 3*x^2 + x^3)*diff(y(x),x$2)= 0;
ic := y(0)= 0, D(y)(0)= 1:
sol:=dsolve({ode, ic},y(x));

Gives

What is _C2  that shows up there? Since this is second order and I give 2 initial conditions, I did not expect to see any _C in solution.  How should I handle this solution now? (say to evaluate it, etc...) with this unknown _C2 in there?

Maple 18.1 on windows.

I am not sure I know what is going on. I expected to obtain the controllable canonical form in this example, but I am not. May be I am not using it correctly. 

Given A,B, I wanted to transfer the state space to controllable canonical form

http://www.maplesoft.com/support/help/Maple/view.aspx?path=DynamicSystems%2FSSTransformation

In this form, the A matrix will have 1 on the super diagonal, and the last row will have the coefficients of the charaterestic polynomial in reverse order with a minus sign. The B matrix will have all zeros, except for the last entry.  This is what the example on the above page actually shows. 

But when I tried it on my A,B, I do not get this form for the new B matrix. Here is a MWE

restart;
with(DynamicSystems):
A:=Matrix([[0,0,1,0],[0,0,0,1],[-2,-1,0,0],[1,-1,0,0]]);
B:=Matrix([[0],[0],[1],[0]]);
C:=Matrix([[0,0,0,0]]):
D0:=Matrix([[0]]):
sys:=StateSpace(A,B,C,D0): #just to see the polynomial
CharacteristicPolynomial(sys, s);

SSTransformation(A,B,C,D0,form=ControlCanon,output=['A','B']);

The above should be

I am sure I am doing something wrong, but what?

Maple 18.01, windows 7

If the differential equation has second derivative in the RHS (i.e. in the input), then `StateSpace` gives an error.

I might not be entering it correctly? But if I first create a `TransferFunction` from the ODE, then it works.

Why?

Here is the code:

------------------
restart;
alias(DS=DynamicSystems):
ode2:=diff(y(t),t$2)+2*diff(y(t),t)+3*y(t)=diff(u(t),t)+u(t);
sys:=DS:-StateSpace(ode2,'outputvariable'=[y(t)],'inputvariable'=[u(t)]):
-------------------------
Error, (in DynamicSystems:-StateSpace) unable to convert the differential equation system:  invalid form of derivative in differential equation


But now if I do this, it works:

---------------------------------------------
restart;
alias(DS=DynamicSystems):
ode2:=diff(y(t),t$2)+2*diff(y(t),t)+3*y(t)=diff(u(t),t)+u(t);
sys:=DS:-TransferFunction(ode2,'outputvariable'=[y(t)],'inputvariable'=[u(t)]):
sys:=DS:-StateSpace(sys);
-----------------------------------------------

Maple 18.01 on windows 7.

Using Maple 18.01 on windows 7.

When setting typesetting level to extended, I get this (which is what I want):

restart;
diff(x(t),t);

But I also wanted to use alias, to make the above show just as \dot(x), i.e. without the (t) as well, since the equations are long, and not having (t) printed next to each letter would make them easier to read. But I found out that if I use an alias as follows

alias(x=x(t))

then now the typesetting level extended no longer works:

restart;
alias(x=x(t));
diff(x,t);

What do I need to make Maple display  only \dot(x) without the argument (t) everywhere?