Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Part 2
a) Sketch by hand a slope field for the differential equation y' = x/y. Use it to sketch the four solutions that satisfy the initial
conditions y(0) = 1, y(0) = -1, y(2) = 1, and y(-2) = 1.
Use a grapher to create a slope field for the particular solutions in part (a) and include a screen capture of the slope field.
Verify your solutions in parts (a) and (b) by solving the differential equation explicitly. What type of curve is each solution
b)
c)
curve?
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Transcribed Image Text:Part 2 a) Sketch by hand a slope field for the differential equation y' = x/y. Use it to sketch the four solutions that satisfy the initial conditions y(0) = 1, y(0) = -1, y(2) = 1, and y(-2) = 1. Use a grapher to create a slope field for the particular solutions in part (a) and include a screen capture of the slope field. Verify your solutions in parts (a) and (b) by solving the differential equation explicitly. What type of curve is each solution b) c) curve?
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