Module 22 - Differential Equations and Euler's Method

Module 22 - Answers

Lesson 1

Answer 1

22.1.1

The value of k shown below, which makes the equation fit the data fairly well, is 0.037.

Lesson 2

Answer 1

22.2.1

y(2) 2.3017

Lesson 3

Answer 1

22.3.1

The top graph is height and the linear graph is velocity.

Answer 2

22.3.2 The velocity is about -55 ft/sec when the object hits the ground.

Self Test

Answer 1

y(3)

63.6 for step size 0.05 and y(3)

68.1 for step size 0.01.

Answer 2

The value of y approaches a maximum of 100.

Answer 3

y(1.1) 3.6; y(1.2) 5.9; y(1.3) 8.3

Answer 4

y = -sin(t) + t + 1

Answer 5

The ball will hit the ground about 2.5 seconds after it was dropped with a downward velocity of about 80 ft/sec.