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These are replies submitted by rashmi


Thank you so much, now I got the point


Thank you so much for your helpful reply.

Even for j=1, lets say red colour curve, there are two curves there, How can I get rid of one of it?

@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.


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