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Loops and Recursion help
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Determine the numerical solution to the following two equations
x^2+x*y-10=0
y+3*x*y^2-57=0
through the use of iteration, solving the equations:
x(k+1)=sqrt(10-x(k)*y(k))
and
y(k+1)=sqrt((57-y(k))/(3*x(k+1)))
Initialize the x(k) and y(k) with 1.5 and 3.5 respectively. Use a while loop to determine the solutions of x and y so that the maximum error between x(k) and y(k) defined as
e(x)=abs(x(k+1)-x(k))/abs(x(k))
and
e(y)=abs(y(k+1)-y(k))/abs(y(k))
is less than 10^-4
5 Comments
Steven Lord
on 5 Nov 2019
Try writing down the steps you'd follow if you were solving this on pencil and paper as comments.
% Step 1
% Step 2
% Step 3
If your textbook has pseudocode, you could use those as your steps.
Once you have the basic outline, start figuring out how to implement each step. If you're not sure how to implement a particular step, break it into smaller sub-steps until you have something you can implement.
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