I don't understand why the elements are not the same on both sides

>> N = 200;
h=tFinal/N;
t=linspace(0,tFinal,N+1); % type 'help linspace' to see how this works
z=zeros(1,N+1);
z(1)=1;
for n=1:N
    z(n+1) = z(n) + h * ((10*(t(n)+1)^8/((t(n)+1)^10.+9)));
end
for n=1:N
    x(n+1) = x(n) + h * ((8*(x(n))/(t(n)+1))-(t+1)*(x(n)^2));
end
plot(t,z,'--')
xlabel('t'); ylabel('y'); title('Look, ma! I solved it even better!');
Unable to perform assignment because the left and right sides have a different number of
elements.
 

Answer 1

[Star Strider]

The reason is that ‘t’ needs a subscript:

x(n+1) = x(n) + h * ((8*(x(n))/(t(n)+1))-(t+1)*(x(n)^2));
                                          ↑ ← HERE

so:

x(n+1) = x(n) + h * ((8*(x(n))/(t(n)+1))-(t(n)+1)*(x(n)^2));

works.

Using ‘t’ without a subscript uses the entire vector. Using ‘t’ with a subacript uses only that one element.