dy x²(x3 – 1)², (1, 0) dx y || -2 -2 2 - |||-2 - N-

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.10: Partial Fractions
Problem 12E
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A differential equation, a point, and a slope field are given. A slope field (or direction field) consists of line segments with slopes given by the differential equation. These line segments give a visual perspective of the
slopes of the solutions of the differential equation. (a) Sketch two approximate solutions of the differential equation on the slope field, one of which passes through the given point. (To
print an enlarged copy of the graph, (b) Use integration and the given point to find the particular solution of the differential equation and use a graphing utility to graph the solution. Compare the result with the sketch in
part (a) that passes through the given point .

dy
x²(x3 – 1)², (1, 0)
dx
y
|| -2
-2
2
-
|||-2
-
N-
Transcribed Image Text:dy x²(x3 – 1)², (1, 0) dx y || -2 -2 2 - |||-2 - N-
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