ysol(x, a, b, alpha, beta, k1) =
How can I solve this implicit function in MatLab?
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I have the implicit function f1 = @(x,y) a*log(y) - alpha*y + b*log(x) - beta*x - k1 and with the fimplicit command it is possible to plot a graph. I need to create an output with the x and y values used to plot this graph. Is there a way to obtain these values? a, alpha, b, beta and k1 are known.
采纳的回答
Trivial, in some eyes. ;-) This is one of the simpler implicit problems you might write down, since a direct solution exists in the form of the Wright omega function.
syms a y x alpha k1 b beta
ysol(x,a,b,alpha,beta,k1) = solve(a*log(y) - alpha*y + b*log(x) - beta*x - k1,y)
And of course, you have not provided any of the constants. But if you did, I could even evaluate it.
ysol(3,4,5,6,7,8)
double(ysol(1,2,3,4,5,6))
I'd bet for some sets of those parameters, the result will even be real. I don't need to change a lot.
double(ysol(1,-2,3,4,5,6))
更多回答（1 个）
Let's take a simpler example and call fimplicit with an output argument, the handle of the graphics object that fimplicit plots.
f1 = @(x,y) x.^2-y.^2+sin(x).*cos(y);
h = fimplicit(f1);
Among the properties the object h returned from fimplicit has are XData and YData properties.
X = h.XData;
Y = h.YData;
Let's plot the X and Y data to see if it gives us the same plot.
figure
plot(X, Y)
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