Given following ODE's
1) x' = x / 1+t, with x(0) = 1 find x(2)
2) x' = t+x with x(0) = 1, find x(2)
3) x' = t-x, with x(1) =2 find x(3)
4) x' = t-x/t+x, with x(2) = 1, find x(4)
a) Solve each of the ODE's using Euler's method with h = 0.5,
and calculate the relative error
i) x' = x/1+t: Approximation ____________________ Relative
error: ________________
ii) x'= t+x; Approximation ____________________ Relative error:
________________
iii)...