Slope Fields Worksheet Page 8
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8Calculus Maximus
WS 5.2: Slope Fields
26. AP 2005-6 (No Calculator)
dy
2
x
Consider the differential equation
.
dx
y
(a) On the axes provided, sketch a slope field for the given differential equation at the twelve points
indicated.
(b) Let
y
f x
be the particular solution to the differential equation with the initial condition
. Write an equation for the line tangent to the graph of f at
f
1
1
1, 1
and use it to
approximate
f
1.1
.
(c) Find the particular solution
y
f x
to the given differential equation with the initial condition
.
f
1
1
Page 8 of 8
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