Problem 231. Differential equations I

Given a function handle f an initial condition y0 and a final time tf, solve numerically the differential equation

dy/dt = f(y)

for the function y(t) between t=0 and t=tf. Give as a result res=y(tf).

Example:

   f = @(x) -x;
   tf= 1;
   y0= 1;

 => y(tf) = 1/e = 0.367879441171442

Remarks: aim at a relative precision of around 1e-6. The function is analytic in the interval [0,1].

Solve

Last solution submitted on Feb 28, 2019