If your objective is to do some plotting of f(x,y) in the xydomain,
read the comments that followed your post. If it is to solve the
equation, do a bit of formal algebra: you say that a is a positive
parameter. Make the substitution b=1/a. If you want to avoid complex
variables, restrict the domain to x, y>=0. If y=0, than any choice
of a,x will solve the equation. If y>0, cancel y from the equation
to obtain b*x^(b1)  1=0. Thus y is irrelevant. Now if you want a
plot in xbdomain, follow Chang's suggestions along the lines of
x=linspace(.1,1,20); b=x; [xx,bb]=meshgrid(x,b);
surf(xx,bb, bb.*xx.^(bb1)  1)
On 12/27/2009 06:35 AM, Dorian wrote:
Hi all,
How do I solve the following functional nonlinear equation using octave
f(x,y)= (1/a^2)*(x*y)^(1/a1)+(1/a)*x^(1/a1)+(1/a)*y^(1/a1) =0
where "a" is positive parameter.
If there is a way to plot f(x,y) for different values of "a"
it will be very appreciated.
Thanking you in advance
Dorian
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