function E=euler(f,a,b,ya,M)%Input    - y'=f is the function %            - a and b are the left and right endpoints%            - ya is the initial condition y(a)%            - M is the number of steps%Output - E=[T' Y'] where T is the vector of abscissas and%            - Y is the vector of ordinates%If f is defined as an M-file function use the @ notation% call E=euler(@f,a,b,ya,M).%If f is defined as an anonymous function use the% call E=euler(f,a,b,ya,M).%  NUMERICAL METHODS: Matlab Programs% (c) 2004 by John H. Mathews and Kurtis D. Fink%  Complementary Software to accompany the textbook:%  NUMERICAL METHODS: Using Matlab, Fourth Edition%  ISBN: 0-13-065248-2%  Prentice-Hall Pub. Inc.%  One Lake Street%  Upper Saddle River, NJ 07458h=(b-a)/M;T=zeros(1,M+1);Y=zeros(1,M+1);T=a:h:b;Y(1)=ya;for j=1:M   Y(j+1)=Y(j)+h*f(T(j),Y(j));endE=[T' Y'];