Euler'S Method Worksheet With Answers Page 4
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6Calculus Maximus
WS 5.3: Euler’s Method
7. The table gives selected values for the derivative of a function f on the interval 2
x
2
. If
f
2
3
and Euler’s Method with a step size of 0.5 is used to approximate
f
2
, what is the
resulting approximation?
x
f x
( )
-2
-0.8
-1.5
-0.5
-1
-0.2
-0.5
0.4
0
0.9
0.5
1.6
1
2.2
1.5
3
2
3.7
dy
8. Let
f x be the particular solution to the differential equation
x
2
y
with the initial
y
( )
dx
condition
f
0
1
. Use Euler’s Method, starting at
x
0
with two steps of equal size to approximate
f
0.6
.
Page 4 of 6
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