Unable to perform assignment because the left and right sides have a different number of elements

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I am getting the message, in the title when trying to run this code. How do I sort this?
% Euler's Method
% Initial conditions and setup
h = 0.1; % step size
x = 0:h:4; % the range of x
y = zeros(size(x)); % allocate the result y
y(i) = (2); % the initial y value
n = numel(y); % the number of y values
% The loop to solve the DE
for i=1:n-1
f = y(i)*cos(x).^2;
y(i+1) = y(i) + h * f;
end

Answers (1)

JESUS DAVID ARIZA ROYETH
JESUS DAVID ARIZA ROYETH on 19 Nov 2019
Edited: JESUS DAVID ARIZA ROYETH on 19 Nov 2019
congratulations! ,you did very well, just a few small changes:
% Euler's Method
% Initial conditions and setup
h = 0.1; % step size
x = 0:h:4; % the range of x
y = zeros(numel(x),1); % allocate the result y
y(1) = (2); % the initial y value
n = numel(y); % the number of y values
% The loop to solve the DE
for i=2:n
f = y(i-1)*cos(x(i-1)).^2;
y(i) = y(i-1) + h * f;
end
syms Y(X)
yy=matlabFunction(dsolve(diff(Y)==Y*cos(X).^2,Y(0)==2));
figure;
plot(x,y,'r*-',x,yy(x),'b*-');
legend('Euler','Real')
tempo.png
  2 Comments
Skye Cameron
Skye Cameron on 19 Nov 2019
Hi, you might be able to help me? This is the question I have been given and I thought my code would give me what I am looking for but it doesnt seem to be?
Screen Shot 2019-11-19 at 13.15.20.png
JESUS DAVID ARIZA ROYETH
JESUS DAVID ARIZA ROYETH on 19 Nov 2019
you did very well, just a few small changes:
% Euler's Method
% Initial conditions and setup
h = 0.1; % step size
x = 0:h:4; % the range of x
y = zeros(numel(x),1); % allocate the result y
y(1) = (2); % the initial y value
n = numel(y); % the number of y values
% The loop to solve the DE
for i=2:n
f = y(i-1)*cos(x(i-1)).^2;
y(i) = y(i-1) + h * f;
end
syms Y(X)
yy=matlabFunction(dsolve(diff(Y)==Y*cos(X).^2,Y(0)==2));
figure;
plot(x,y,'r*-',x,yy(x),'b*-');
legend('Euler','Real')

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