[3yx? - 1] dx + [x3 + 6y – y2] dy = 0 And that "F" is F = yx³ - x + 8 (y) Find the equation that represents g(y). A8(y) = 6y - y2 + C 1 8 (y) = 2yx³ + 3y2 - y³ + C 8 (y) = 6y2 - y3 + C D 3y? - + c 8 (y) = -x* + (E) 8(y) = = 3y2 . C P(y) = C +

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question

q8

Given the following differential equation
[3yx? - 1] dx + [x³ + 6y – y²] dy = 0
And that "F" is
F = yx - x + 8 (y)
Find the equation that represents g(y).
A 8(y) 6y - y? + C
B
8 (y)
2yx3 + 3y2
-y3 + C
8 (y) = 6y2 - y3 + C
O st) =*+ 3 - +c
8 (y)
3y2
E
8 (9) = 3y? - y + C
O = 3y? - 3 + C
F)
8 (y) = C
Transcribed Image Text:Given the following differential equation [3yx? - 1] dx + [x³ + 6y – y²] dy = 0 And that "F" is F = yx - x + 8 (y) Find the equation that represents g(y). A 8(y) 6y - y? + C B 8 (y) 2yx3 + 3y2 -y3 + C 8 (y) = 6y2 - y3 + C O st) =*+ 3 - +c 8 (y) 3y2 E 8 (9) = 3y? - y + C O = 3y? - 3 + C F) 8 (y) = C
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