Determine whether the differential equation (8x² - 2xy + 2) dx + (7y² - x² + 8) dy = 0 is exact. If it is exact, find the solution. The differential equation is My The general solution is 8130 7 y³ 3 Nx x³-y x²+2x+ +8y exact because = C₂

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Determine whether the differential equation
(8x² − 2xy + 2) dx + (7y² − x² + 8) dy = 0
is exact. If it is exact, find the solution.
The differential equation is
My
8
م انت
Your answer is correct.
The general solution is
3
x³ − y x² + 2x +
3
7 y³
3
N%
+ 8y
exact because
= C₂
Transcribed Image Text:Question 3 of 10 View Policies Show Attempt History Your Answer Correct Answer (Used) < > Determine whether the differential equation (8x² − 2xy + 2) dx + (7y² − x² + 8) dy = 0 is exact. If it is exact, find the solution. The differential equation is My 8 م انت Your answer is correct. The general solution is 3 x³ − y x² + 2x + 3 7 y³ 3 N% + 8y exact because = C₂
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