Question

please use matlab only

COMPUTER PROBLEMS 8.6 1. Write a computer program to solve this initial-value problem using the Taylor-series method. Include terms in h, h2, and h and continue the solution tor 1. Let h 0.01 x1 = t + x1+x2 i xd-1)=0.43 avl

Answer 1

function sol=taylor1(fn,dfn,a,b,y0,n)

h=(b-a)/n;

x=a+(0:n)*h;

y(1)=y0;

for k=1:n

y(k+1)=y(k)+h*feval(fn,x(k),y(k)) + (h^2*feval(dfn,x(k),y(k)))/2;

end

sol=[x',y'];