More on Eüler's Method.

1. Approaching the line ...
(Eüler's Method)
Approach to BCN by flickr user Harm Rhebergen

2. Consider the differential equation
Complete the table below, starting at the point (0, 0) to generate a
numeric solution to the differential equation on the interval [0, 1] in
4 steps (so n = 4 and ∆x = 0.25).
yn + 1
HOMEWORK

3. HOMEWORK steps (i.e. n = 10 and ∆x = 0.1).
Repeat the above procedure using 10

4. Now, let's program this on your calculator ...
Calculator by kevin41890

5. If an automobile starts from rest, what constant acceleration will enable
it to travel 500 feet in 10 seconds?

6. A small country has national gas reserves of 100 billion ft3 If A(t) denotes the
.
total amount of natural gas consumed after t years, then is the rate of
consumption. If the rate of consumption is predicted to be 5 + 0.01t billion
ft3/year, in approximately how many years will the country’s natural gas reserves
be depleted?