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Can anyone tell me where I can find tutorial explaining how to solve laplace transform? I need a tutorial that explains starting with simple resolution to advanced resolution.

I need to know if the Software Maple solve, step-by-step series of Fourier and Laplace transforms? The Maple command has to solve step by step series of Fourier and Laplace transforms? or commands show only the direct solution?

I'm trying to solve this system of ODEs by Laplace transform. 

> de1 := d^2*y(t)/dt^2 = y(t)+3*x(t)

> de2 := d^2*x(t)/dt^2 = 4*y(t)-4*exp(t)

with initial conditions 

> ICs := y(0) = 2, (D(y))(0) = 3, x(0) = 1, (D(x))(0) = 2

 

Using 

> deqns := de1, de2

and

> var := y(t), x(t)

 

I need to solve it for both y(t) and x(t), I have tried this by:

> dsolve({ICs, deqns}, var, method = laplace)

And

> dsolve({ICs, deqns}, y(t), method = laplace)

> dsolve({ICs, deqns}, x(t), method = laplace)

 

However I get this error message:

Error, (in dsolve/process_input) invalid initial condition

 

Any help is appreciated

Hello everyone,

 

how exactly do i 3-d plot some data that i have to back-transform first. in 2-d it is so easy. why isnt it in 3d? all i end up with is an all black diagram

transformIT.mw

please see the file attached

Grateful for some hints

Goon

 

i have a work on Magic Squares , and i need to rotate or flip them to all 8 possible directions .
but i am confused to find such special commands in maple for doing my purpose !

may you guide me how can i do this programmaticaly ?

 

order4 := Array(1 .. 4, 1 .. 4, {(1, 1) = 8, (1, 2) = 11, (1, 3) = 14, (1, 4) = 1, (2, 1) = 13, (2, 2) = 2, (2, 3) = 7, (2, 4) = 12, (3, 1) = 3, (3, 2) = 16, (3, 3) = 9, (3, 4) = 6, (4, 1) = 10, (4, 2) = 5, (4, 3) = 4, (4, 4) = 15}, datatype = anything, storage = rectangular, order = Fortran_order)

order4 := Array(1..4, 1..4, {(1, 1) = 8, (1, 2) = 11, (1, 3) = 14, (1, 4) = 1, (2, 1) = 13, (2, 2) = 2, (2, 3) = 7, (2, 4) = 12, (3, 1) = 3, (3, 2) = 16, (3, 3) = 9, (3, 4) = 6, (4, 1) = 10, (4, 2) = 5, (4, 3) = 4, (4, 4) = 15})

(1)

``


Download magicsquare4.mw

R dJ(t)/dt+J(t)/C=f(t)

where f(t) is a driving electromotive force. Use the fourier transform to analyze this equation as follows.

 

 

Find the transfer function G(alpha)  then find g(t) .

 Thanks ....

 

Dear all

 

Please I need your help to simplify by the coefficient a in this Matrix

I have The matrix A defined by  A:=Matrix(2,2, [[a,a],[3*a,4*a]]);

I want with maple transform A to  A:=a*Matrix(2,2, [[1,1],[3,4]]);

Thanks for your Help.

 

Dear all;

Please Have some one an idea to transform or convert 2nd order ODE to system of First ODE ( of course using maple).

Thanks

 

Please advise as to the proper coding entries needed in the triple integration palette  to transform from the Cartesian placeholders x;y;z to spherical coordinates rho; theta; phi so that the triple integration palette can be used in spherical coordinmates. Dr. Lopez alreadyb has a standalone template which does this but I would like to set a palette option for spherical  calculations.

 

Thanx

Hello, I am trying to do a fourier transfrom using the package < DiscreteTransfroms >.

The function is an gaussian function for now,

Here is the code I tried

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

restart

with(DiscreteTransform):

> X := Vector(1000, proc (k) options operator, arrow; (1/200)*k-5/2 end proc);
> Y := Vector(1000, proc (k) options operator, arrow; evalf(exp(-10*((1/100)*k-5)^2)) end proc);

> X2, Y2 := FourierTransform(X, Y);
Vector[column](%id = 18446744080244879358),

Vector[column](%id = 18446744080244879478)
> plot(X2, Re(Y2));

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

The program returns two vector, X2 and Y2 who are supposed to be the fourier transforme of a gaussian so.. a gausian but when I plot the result X2 on the horizontal and Y2 on vertical, the graph doesn't resemble a gaussian function or any function at all.

 

Please help!!

Alex

I am using 17.02. I looked at this question, http://www.mapleprimes.com/questions/35783-Inverse-Cosine-And-Sine-Transform but I do not understand the answer.

I have a function F(w), and want to find f(t) using inverse cosine forurier transform.

Here is F(w)

F:= w-> cos(w*L)*cos(w*x)/(w^6+w^2*k);

All parameters are positive.

How can I use the answer shown above, or another function to find f(t)?

I can offcourse simply apply the definition myself, and I did:

int(F(w)*cos(w*x),w=0..infinity) assuming positive;

but the result is

So it does not converge. And I just wanted to check using a build-in function to verify. Strange than Maple does not have these in its inttrans package.

with(inttrans);

 

 

 

I was asked to transform (x+y)^2+(1)/x+y into ((x+y)^3+1)/x+y, I have tried nomer/denom, but i don't how to factorise the nomer bit into (x+y)^3+1 because maple factorise it differently by default. therefore, it would be grateful if anyone can help me with this...please?

On Maple 16.02, plattools[transform] only works for very simple procedures. It does not work for procedures with the `if` function even with the simple arrow definition. or with any if-block in a more general proc definition.

With the sequence of commands:

simp:=plot(sin(x), x=0..Pi);
f:=(xx,yy)->`if`(yy > 0, [xx,4*yy], [xx,yy]);
trns:=plottools:-transform(f);
trns(simp);

The first three statements run without error messages. At the last...

1.

qRacah := qhyperterm([q^(-x), alpha*q^(-x)/(gamma*delta)], [alpha*q], q, gamma*delta*q^(x+1)*t, k)*qhyperterm([beta*delta*q^(x+1), gamma*q^(x+1)], [beta*q], q, q^(-x)*t, k);

i use inverse laplace to transform ordinary generating function into exponential generating function

can not further evaluated

2.

i do not know whether x is main variable or q is main variable or both are.

ff := eval(subs(x=0, exponential_genfun));

when doing ztransform

restart;
with(inttrans):
with(SumTools):
network := sqrt(2*p)*((s-p)^(i-1))/((s+p)^i)
ztrans(network, s, z);

error, recursive

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