ch of the following equations determine the constant A such that the equation is exact, and the resulting exact equation: x2 + 3xy) dx + (Ax² + 4y) dy = 0 +) dx + (*) dy = 0 Ах+

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...
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In each of the following equations determine the constant A such that the equation is exact, and
solve the resulting exact equation:
(a) (x2 + 3xy) dx + (Ax? + 4y) dy = 0
Аx+1
o = Ap () + xp ( +) (4)
dy = 0
уз
(b)
dx +
Transcribed Image Text:In each of the following equations determine the constant A such that the equation is exact, and solve the resulting exact equation: (a) (x2 + 3xy) dx + (Ax? + 4y) dy = 0 Аx+1 o = Ap () + xp ( +) (4) dy = 0 уз (b) dx +
Solve each of the differential equations
1. tan e dr + 2r de = 0
(x + 4)(y² + 1) dx + y(x? + 3x + 2) dy = 0
3. (2xy + 3y?) dx – (2xy + x²) dy = 0
4. (xtan+ y) dx – x dy = 0
X
Transcribed Image Text:Solve each of the differential equations 1. tan e dr + 2r de = 0 (x + 4)(y² + 1) dx + y(x? + 3x + 2) dy = 0 3. (2xy + 3y?) dx – (2xy + x²) dy = 0 4. (xtan+ y) dx – x dy = 0 X
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