MATLAB: WriteaMALTABscriptﬁleforplottingthebelowsurfacesbycoloringthesurfacewithacolormap, appropriately naming the axis and titling the plot. 1. z = sin(x+y)/ x^2+y^2 for (x,y) ∈ [−2,2]×[1,3]

esurfhomeworksurf

how can I solve this question

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syms x y
h=ezsurf(sin(x+y)/(x^2+y^2))
xlim([-2 2])
ylim([1 3])

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MATLAB: How to solve y”+y’-2y=x

Something like this perhaps:

Y0 = [2 5];    % intial conditions
xspan = [0 5];  % x-boundary values
% ode solver
[x, Y] = ode45(@rates, xspan, Y0);
% note that Y(:,1) are the y values and Y(:,2) are the y' values
% Plot results
plot(x, Y)   
function dYdx = rates(x,Y)
         y = Y(1);
         v = Y(2);
         dydx = v;
         dvdx = -v + 2*y +x.^2 + x;
         dYdx = [dydx; dvdx];
end

MATLAB: Plot x^2+y^2=4

There are a few ways to go about this. One that is somewhat agnostic to what the equation is trying to represent (in this case, a circle) involves calculating the equation for the whole space, then plotting only an isoline of the target value.

[X,Y] = meshgrid(-3:.1:3,-3:.1:3); % Generate domain.
Z = X.^2 + Y.^2; % Find function value everywhere in the domain.
contour(X,Y,Z,[4 4]) % Plot the isoline where the function value is 4.

If you know more about your function and can turn it around into a function of only one variable (e.g., sine and cosine of t), that is preferable in most cases.

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MATLAB: How to solve y”+y’-2y=x

MATLAB: Plot x^2+y^2=4

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