Question

Using Matlab, solve the following ODE using Euler's method...

I have to perform solve the ODE with both step sizes and plot both on the same graph.

y'=1/y, Initial Condition y(0)=1. step size = 0.1 and 0.01

The interval is from 0 to 1.

UPDATE: I actually figured it out myself! THANKS

Answer 1

% We will solve this problem by Euler's Method

clc;

clear all;

h = 0.1; % initial step size

for j=1:2

x = 0:h:1; % the range of x

y = zeros(size(x)); % allocate the result y

y(1) = 1; % the initial y value

n = numel(y); % the number of y values

% The loop to solve the DE

for i=1:n-1

f = 1/(y(i)); % The given function

y(i+1) = y(i) + h * f; % formula for Euler's method.

end

plot(x,y)

hold on

h=h*0.1;

end