The following are not *stiff* differential equations, however, the
techniques may still be applied.

# Question 1

Given the IVP

^{(1)}(

*t*) = 1 - 0.25 y(

*t*) + 0.2 t

y(0) = 1

approximate y(0.5), y(1), and y(1.5) using the backward-Euler's method.

Answer: 1.377777778, 1.76, 2.145454545.

# Question 2

Given the same ODE as in Question 1, but with the initial condition y(1) = 2, approximate y(1.5) and y(2.0).

Answer: 2.355555556 and 2.72

Copyright ©2005 by Douglas Wilhelm Harder. All rights reserved.