RungeKuttaMethod matlab general function problem this what I have for the genera

Question

RungeKuttaMethod matlab general function problem

this what I have for the general function please fill the missing part wich indicate as ....

function [xvals yvals]=RungeKuttaMethod(xmin,xmax,steps,y0)

% calculate the step size;

h=(xmax-xmin)/steps;

% now set up a list of x values

% need the list to have steps+1 numbers in it

% because the initial x is counted as 1

xvals=linspace(xmin,xmax,steps+1);

x=xmin;

% initialize y and yvals

y=y0; yvals=[y];

% now a for loop to build the yvals

for i=1:steps

...

y=...

% add y to the list of yvals

yvals=[yvals y];

% update x

x=xvals(i+1);

end

end

Explanation / Answer

In the blank space these statements will come: k1 = h(-2x(i)-y(i)); k2 = h(-2(x(i)+0.5h)-(y(i)+0.5k1)); k3 = h(-2(x(i)+0.5h)-(y(i)+0.5k2)); k4 = h(-2(x(i)+h)-(y(i)+k3)); y(i+1) = y(i)+(k1+k2+k3+k4)/6; x(i+1) = x(i)+h;

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