How can I solve raychaudhuri equations numerically using GRtensor?

Hi,

how can I solve a set of first order, coupled, non-linear and inhomogeneous differential equations using MAPLE 12.

How can I solve a differential equation set of the type,

dy(x)/dx +y^2 =P(x); dP(x)/dx = R(P) numerically

How can I plot multiple numeric plots, such that numeric solutions belong to different differential equations?

Hai everyone. I used maple 12 and have an equation as follow:

int(int(lambda[v]*lambda[t]*exp(-lambda[v]*v-lambda[t]*t), v = (1/2)*(q[p]+q[p]*t[c]*t+2*S[di]*h*t)/(h*t) .. infinity), t = 0 .. infinity)

and try to get an outcome as follow:

However, I cannot get the outcome like I want. The maple just diplay the equation. Any tips or suggestion?

Thanks

Regards,

Dolby87

Hello,

can I remove tick marks from axis in plots ?

i want to find initial condition for F(0),G(0), H(0) and thetap(0) which is are missing in this problem.. then i facing this error Error, (in dsolve/numeric/bvp) Newton iteration is not converging

Maple Worksheet - Error

Failed to load the worksheet /maplenet/convert/hydronew2.mw .

Download hydronew2.mw

i am trying to solve 6 ODE with boundary condition

Download hydro.mw

then i get this error

Error, (in dsolve/numeric/bvp/convertsys) unable to convert to an explicit first-order system

i dont know where i need to change after view it one by one..

Download hydro.mw

i am solving 4 ODE with boundary condition..

> restart;
> with*plots;

then i got this error..

Error, (in dsolve/numeric/bvp/convertsys) unable to convert to an explicit first-order system

i dont know where i need to change.. could you help me..

I am getting a complex solution for a physical quantity, how can I plot it. Should I plot the real part or modulus?

solution is,

C1*sqrt(4*tau^2*M^2*lambda^2+Q^2)*LegendreP((1/2*I)*sqrt(7)-1/2, I*sqrt(7), (2*I)*lambda*M*tau/Q)+C2*sqrt(4*tau^2*M^2*lambda^2+Q^2)*LegendreQ((1/2*I)*sqrt(7)-1/2, I*sqrt(7), (2*I)*lambda*M*tau/Q)

where C1 and C2 are integration constants.

I'm trying to numerically calculate the following:

int(e^(-1.5*t)/sqrt(t*(t+1)), t = 1 .. infinity)

But Maple can't do it.

I then made it a lot simpler and tried to calculate the following:

evalf(int ((e^(-t)), t=1..infinity));

Thats just e^(-t), integrated from t=1 to t=infinity.

Maple just gives me back the original equation in the first case, and in the second gives me a limit that I can see has a numerical answer, but Maple can't. Is this something Maple should be able to do and I'm just now pushing the right buttons? I'm using Maple 12, which I know is old and limited, but these really aren't very complicated numerical integrations.

How can I get solution of  the following equation of orbit for schwarzschild BH in form of Jacobi Elliptical Integrals on Maple 12 platform,

diff(r(phi), phi) = r^2*sqrt(e^2-(1-2*M/r)*(1+l^2/r^2))/l

hello,

I'm trying to solve the equation of a form like,

diff(eta(tau), tau, tau)+(8/(4*tau^2+1)-32/(4*tau^2+1)^2)*eta(tau) = 0,

when I'm doing solve DE, I get a solution as:=

eta(tau) = _C1*sqrt(4*tau^2+1)*LegendreP((1/2*I)*sqrt(7)-1/2, I*sqrt(7), (2*I)*tau)+_C2*sqrt(4*tau^2+1)*LegendreQ((1/2*I)*sqrt(7)-1/2, I*sqrt(7), (2*I)*tau

which is combination of Legendre Polynomials with imaginary arguments,May I change this form,

How can I plot this solution on real plane, as this is imaginary,

Is the only option remaining NUMERIC PLOT??

How can I get and install grtensor for MAPLE12 on WIN7 32bit platform,

I tried with http://grtensor.phy.queensu.ca, downloaded grtii6.exe, now how to proceed further???

How can I calculate GR tensors and geodesic equations for adS schwarzschild spacetime.