How would I plot this using step sizes (h values) of 0.5, 0.1, and 0.05?

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Vincenzo Dragone 2019-7-31

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https://ww2.mathworks.cn/matlabcentral/answers/474333-how-would-i-plot-this-using-step-sizes-h-values-of-0-5-0-1-and-0-05

编辑： Sai Bhargav Avula 2019-8-5

%% Euler's Method
%Pick a single initial condition from Task 1
%The initial condition we will use is y(0)=1
%Use Euler's method to approximate the solution to this IVP over some t
%range which you choose
%Create a figure called Task 2
figure ('Name','Task 2')
%The range of t is from 0 to 1
%We are using the initial condition that y(0)=1, but we want to know y(t) 
%when t=1
%In other words we want to find y(1)
y = y0; % y0 is the initial condition 
yout = y; 
t0 = 0; % initial value of t
h = 0.5; % step size
tfinal = 1; % final value of t
for t = t0 : h : tfinal-h %range of t from 0 to 1 with a step size of 0.5
    y = ode*h + y; % so like in our handwritten calculations...
                 % y is the value of y
                 % h is the step size or also referred to as delta x
                 % we want to find y(t) where t = 1 so in other words we
                 % are finding y(1)
    yout = [yout;y] % y output
end
% Approximate using Euler's Method with h = 0.5, 0.1, and 0.05
% The approximations should be plotted using discrete points. Each should be
% a different color. Create a legend which indicates the h value. 

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Jim Riggs 2019-8-1

This question is a duplicate and was addressed here

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Answer 1

Sai Bhargav Avula 2019-8-5

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https://ww2.mathworks.cn/matlabcentral/answers/474333-how-would-i-plot-this-using-step-sizes-h-values-of-0-5-0-1-and-0-05#answer_386142

编辑：Sai Bhargav Avula 2019-8-5

在 MATLAB Online 中打开

You can use nested for loop for plotting. For this case

h= [0.5,0.1,0.05]; 
pre_color =['g','b','r'];
hold on; 
for i = 1:length(h) 
    for t = t0:h:tfinal-h 
        Your way to calculate the xout and yout; 
    end 
plot(xout,yout,'Color',pre_color(i)); 
end 