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Maple gives the fourier transformation:

fourier(int(y^k*exp(-k*x*y/phi+I*y*omega), y = 0 .. infinity), omega, t) as:

2*Pi*t^k*exp(-t*k*x/phi)*piecewise(t < 0, 0, 1)+piecewise(0 < t, -2*Pi*t^k*exp(-t*k*x/phi), 0)

but it is identically 0.

if change the order of integration and integate exp(I*y*omega) first, the transform is equal to

int(Dirac(y-t)*y^k*exp(-k*x*y/phi), y = 0 .. infinity)

which is Heaviside(t)*t^k*exp(-t*k*x/phi)

With Maple I get the following result

For easier interpretation I would prefer the following, equivalent form:

I tryed a lot,...

Hello every one,

I am using similarity transformation to transform a PDE into an ODE.

I got the ode but its in a very ambiguous (unclear) form.

I need help to have the ode in a more friendly reading format.

Thanks

pdetoodest.mw

Heya,

I am trying to plot a graph in Maple on the (u,v) plane and I am struggling to work out how to do it.

Consider the change of variable

x=u^2-v^2                    y=2uv

Plot the lines in the (u,v) plane where x and y are constant.

If anybody could help  me in plotting this graph I would be very grateful.

Thanks.