Chapter D1.2, Problem 35E

a.

To determine

To approximate: The value of $y\left(T\right)$ using Euler’s method with the given time steps on the interval $\left[0,T\right]$

b.

To determine

To Find: The error in the approximation to $y\left(T\right)$ using the exact solution.

c.

To determine

To Find: The approximation to $y\left(T\right)$ by using half the time steps from (a).

d.

To determine

To Compare: The error in the approximation to $y\left(T\right)$ from b and c.

The Error of (b) is $E=0.00804$ and (c) is $E=0.01768$.