Question: How to plot parameters in system?

December 09 2012 J4James 175
Maple 16
0

Hello every one,

I want to plot two parameters against each other from a system of ode.

The system is

restart:

with(plots):with(LinearAlgebra):

Eq1:=diff(f(eta),eta$3)+f(eta)*diff(f(eta),eta$2)-diff(f(eta),eta$1)^2-M^2*diff(f(eta),eta$1)+M^2*b+b^2=0;

Eq2:=diff(g(eta),eta$3)+f(eta)*diff(g(eta),eta$2)+(Lambda-2*diff(f(eta),eta$1)-M^2)*diff(g(eta),eta$1)+diff(f(eta),eta$2)*g(eta)=0;

N:=10: M:=0.1:

bc:=f(0)=0,D(f)(0)=1,D(f)(N)=b,g(0)=0,D(g)(0)=0,D(g)(N)=0;

Here Eq2 is an eigenvalue problem with Lambda as the eigenvalue.

Also Eq2 uses the solution for f from Eq1.

I need to plot Lambda vs b.

Please help me out.

Thanks

Please Wait...