Euler'S Method Worksheet With Answers
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6Calculus Maximus
WS 5.3: Euler’s Method
Name_________________________________________ Date________________________ Period______
Worksheet 5.3—Euler’s Method
Show all work. Unless stated, you MAY use a calculator, but show all steps.
1. Answer the following questions.
dy
(a) Given the differential equation
x
2
and
y
0
3
. Find an approximation for
y
1
by using
dx
Euler’s method with two equal steps. Sketch your solution.
dy
(b) Solve the differential equation
x
2
with the initial condition
y
0
3
, and use your solution
dx
to find
y
1
.
(c) The error in using Euler’s Method is the difference between the approximate value and the exact
value. What was the error in your answer? How could you produce a smaller error using Euler’s
Method?
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