Worksheet 6.5 L'Hopital'S Rule And Indeterminate Forms Math Worksheet Page 6
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6WS 6.5: L’Hôpital’s Rule & Indet. forms
Calculus Maximus
dy
. Let
25. (AP 2010-5) Consider the differential equation
1
y
y
f x
be the particular solution to
dx
. For this particular solution,
f x for
this differential equation with the initial condition
f
1
0
1
all values of x.
x with two steps of equal size, to approximate
(a) Use Euler’s method, starting at
1
f
0
. Show the
work that leads to your answer.
f x
(b) Find
. Show the work that leads to your answer.
lim
3
x
1
x
1
dy
(c) Find the particular solution
y
f x
to the differential equation
1
y
with the initial
dx
.
condition
f
1
0
Page 6 of 6
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