Chapter D1.2, Problem 33E

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 part (a).

d.

To determine

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