Chapter D1.2, Problem 32E

a.

To determine

To approximate: The value of $y\left(0.2\right)$ and $y\left(0.4\right)$ using Euler’s method with the given time steps

b.

To determine

To Compute: The error in the Euler approximation at $t=0.2\text{ and }t=0.4$ using the exact solution.

c.

To determine

To Explain: The time step which give more accurate approximation.

d.

To determine

The error when the time step is halved.