Slope Fields Worksheet Page 6
ADVERTISEMENT
1
2
3
4
5
6
7
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
, sketch the solution curve that passes through the point
1
x
1
.
0, 1
(b) While the slope field in part (a) is drawn at only twelve points, it is
y . Describe all
defined at every point in the xy-plane for which
0
dy
y , for which
.
points in the xy-plane,
0
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
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education