Slope Fields Worksheet With Answers - Calculus Maximus, Ws 5.2 Page 6
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8Calculus Maximus
WS 5.2: Slope Fields
23. Which of the following differential equations would produce the slope field shown below?
dy
dy
x
dy
x
dy
y
dy
y
(A)
y
3
x
(B)
y
(C)
y
(D)
x
(E)
x
dx
dx
3
dx
3
dx
3
dx
3
24. AP 2010B-5 (No Calculator)
dy
x
1
Consider the differential equation
.
dx
y
(a) On the axes provided at right, sketch a slope field for the given
differential equation at the twelve points indicated, and for
1
x
1
, sketch the solution curve that passes through the point
0, 1 .
(b) While the slope field in part (a) is drawn at only twelve points, it is
defined at every point in the xy-plane for which
. Describe all
y
0
dy
points in the xy-plane,
y
0
, for which
1
.
dx
(c) Find the particular solution y
f x to the given differential equation with the initial condition
f
0
2
.
Page 6 of 8
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