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These are replies submitted by rashmi

@acer  Thanks a lot,

now its solved I think.

@acer it should be,

d := z -> t*d__sc/(1-z)


Above suggestions were really very constructive and thus helpful.

Further, how can I add two such plots together,

lets say'I wish to have two plots together with different values of $x$, such as $x=0$  and $x=0.3$, values of other parameters remain same ($a=0.5$, $s=1$).


Please see the file attached.

I need a plot of $alpha$ with $a=0.5,x=0.8, s=+1$.

Yes I think I should first pick the range where this function is well behaved.


Kindly help. The previous mail was really helpful.


@Markiyan Hirnyk 

Thank You So much

@Markiyan Hirnyk 

Is it possible to use the obtained dataset for algebric calculations directly? Such as how can I calculate (Column#1)^2-\sqrt{(Column#2)^2-(Column#3)^2}

@Markiyan Hirnyk 

Thanks a lot


@Preben Alsholm 

Thanks for your reply, it was very helpful

@Markiyan Hirnyk 

Thank you so much,

it is helpful

@Markiyan Hirnyk 

Is it just about the ranges of the variables included?

@Markiyan Hirnyk 

Thanks for your response.

By 3d polarplot I mean spherical polar system. If I have three first order differential equations for variables r(t), theta(t), phi(t) (where theta and phi are angles). Then I need a solution of the set of diff eqs in form of a plot, wjere the range $theta=0 ..2*Pi$ & $Phi=0 .. 2*Pi$.

The previously given set of diff eq. can also be taken into account, where w[2] and w[3] will then be angles and w[1] will refer to the radial co-ordinate.


I'm using Maple 12,

I want to find out raychaudhuri equations for arbitrary metric which are evolution equations for expension, shear and vorticity parameters of geodesic congruences.



Yes you are right,

now I'm trying GrtensorII for it,

I've installed it in maple12 now there in operators is Rayeqn[v],

But I could not understand how these operators will work??

In previous query I wanted to know solution of expansion,shear and rotation in terms of initial values as a function of affine parameters.

@Preben Alsholm 

great, it worked.

thanks a lot

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