See Question.pdf

**Subject Mathematics Differential Equations**

See Question.pdf

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function [t, w] = euler( f,a,b,N,alpha )

%[ w] = euler( f,a,b,N,alpha )

%INPUTS

% f -- function f(t,x)

% a -- begin point interval

% b -- end point interval

% N -- number of steps

% alpha -- initial condition x(a)

%OUTPUTS

% t -- the vector of times t_i

% w -- the vector of solutions at the times t_i

h=(b-a)/N;

w(1)=alpha;

for i=1:N+1;

t(i)=a+(i-1)*h;

end

for i=1:N

w(i+1)=w(i)+h*f(t(i),w(i));

end

return;...

%[ w] = euler( f,a,b,N,alpha )

%INPUTS

% f -- function f(t,x)

% a -- begin point interval

% b -- end point interval

% N -- number of steps

% alpha -- initial condition x(a)

%OUTPUTS

% t -- the vector of times t_i

% w -- the vector of solutions at the times t_i

h=(b-a)/N;

w(1)=alpha;

for i=1:N+1;

t(i)=a+(i-1)*h;

end

for i=1:N

w(i+1)=w(i)+h*f(t(i),w(i));

end

return;...

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