I do not know why this is not plotting the multivariable function correctly?

It do not know why MATLAB plots incorrectly the following function f(x,y) = x*(10y+3)*e^(-x^2-y^2)

This is the code I wrote:

x = -5:0.1:5;

y = -5:0.1:5;

[X,Y]=meshgrid(x);

syms x y;

f(x,y) = exp(-x.^2)*exp(-y.^2)*x*(10*y+3);

F = X*(10*Y+3)*(exp(-X.^2-Y.^2));

surf(X,Y,F);

f = (exp(-x.^2-y.^2))*(10*y*x+3*x); % This is not part of the question

set(gca,'FontSize',15)

xlabel('$x$','FontSize',20,'interpreter','latex');

ylabel('$y$','FontSize',20,'interpreter','latex');

title('$x*(10*y+3)*exp(-x^2-y^2)$','FontSize',15,'interpreter','latex');

And this is the output I got

Any ideas?

Answer 1

[Torsten]

F = X.*(10*Y+3).*(exp(-X.^2-Y.^2));

instead of

F = X*(10*Y+3)*(exp(-X.^2-Y.^2));

[GUILLERMO REY PANIAGUA]

Thank you very much! You saved my life! Now I got the right plot!