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