Question

dy dt (a) Analytically (b) Using Euler's method with h-0.5 and 0.25. (c) Using the midpoint method with h-0.5.

HW12_1 Problem 22.1. (a,b,c). Find y(2). Do the plotting in MATLAB. (which means you are coding each of these methods as well as doing the work by hand on paper). Just the coding portion of the question please.

Answer 1

`Hey,

Note: Brother in case of any queries, just comment in box I would be very happy to assist all your queries

clc%clears the screen
clear all %clears the history
format long;
f=@(t,y) y*t^2-1.1*y;
for h=[0.5,0.25]
y=[1];
t=0:h:2;
for i=2:length(t)
y(i)=y(i-1)+h*f(t(i-1),y(i-1));
end
fprintf('For h=%f, y(2)=%f\n',h,y(end));
plot(t,y);
hold on;
end
legend('h=0.5','h=0.25');

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Thanks.