Use the method discussed under "Equations with Linear Coefficients" to solve Problems 29-32. 30. 29. (x + y − 1) dx + (y-x-5) dy = 0 (-4x-y-1) dx + (x + y + 3) dy = 0 31. (2x−y) dx + (4x + y − 3) dy = 0 32. (2x-y+4) dx + (x-2y-2) dy = 0

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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Question #30
F1
27.
dr
de
₁² + 2r0
0²
Use the method discussed under "Equations with Linear
Coefficients" to solve Problems 29-32.
29. (x+y-1) dx + (y-x-5) dy = 0
30. (-4x-y-1) dx + (x + y + 3) dy = 0
31. (2x-y) dx + (4x+y-3) dy = 0
32. (2x-y+4) dx + (x-2y-2) dy = 0
In Problems 33-40, solve the equation given in:
33. Problem 1.
34. Problem 2.
35. Problem 3.
36. Problem 4.
37. Problem 5.
38. Problem 6.
39. Problem 7.
40. Problem 8.
F2
41. Use the substitution v = x - y + 2 to solve equation (8).
42. Use the substitution y = vx² to solve
dy
dx
dy
28. +y³x + y = 0
dx
2y
80
F3
X
43. (a) Show that the equation dv/dx
+ cos (y/x²).
F4
F5
= f(x, y) is homoge-
MacBook Air
F6
F7
Transcribed Image Text:F1 27. dr de ₁² + 2r0 0² Use the method discussed under "Equations with Linear Coefficients" to solve Problems 29-32. 29. (x+y-1) dx + (y-x-5) dy = 0 30. (-4x-y-1) dx + (x + y + 3) dy = 0 31. (2x-y) dx + (4x+y-3) dy = 0 32. (2x-y+4) dx + (x-2y-2) dy = 0 In Problems 33-40, solve the equation given in: 33. Problem 1. 34. Problem 2. 35. Problem 3. 36. Problem 4. 37. Problem 5. 38. Problem 6. 39. Problem 7. 40. Problem 8. F2 41. Use the substitution v = x - y + 2 to solve equation (8). 42. Use the substitution y = vx² to solve dy dx dy 28. +y³x + y = 0 dx 2y 80 F3 X 43. (a) Show that the equation dv/dx + cos (y/x²). F4 F5 = f(x, y) is homoge- MacBook Air F6 F7
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