Example 3. Solve the equation [cos (2y) – 3r*y"]dx + [cos (2y) – 2r sin 2y – 20*y]dy = 0 Answer: 1 x cos (2y) – y² + sin (2y) =c %3D

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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Example 3.
Solve the equation
[cos (2y) – 3r y] dx + [cos (2y) – 2r sin 2y – 2r'y]dy = 0
Answer:
1
x cos (2y) – y² + sin (2y) =c
%3D
Transcribed Image Text:Example 3. Solve the equation [cos (2y) – 3r y] dx + [cos (2y) – 2r sin 2y – 2r'y]dy = 0 Answer: 1 x cos (2y) – y² + sin (2y) =c %3D
Example 6.
Solve the equation
[r + sin 0 – cos 0] dr +r[sin 0 + cos 6] do = 0
%3D
Answer:
-2r cos 0 + 2r sin 0 + r = c
Example 7.
Solve the equation
[2r + y cos (ry)]dx + a cos (ry)dy = 0
Answer:
sin (ry) + x? = c
Example 8.
Solve the equation
2r [3r + y – ye-"]dr + [r² + 3y? + e=*]dy = 0
%3D
Answer:
r'y+y + ye + 2.r = c
Transcribed Image Text:Example 6. Solve the equation [r + sin 0 – cos 0] dr +r[sin 0 + cos 6] do = 0 %3D Answer: -2r cos 0 + 2r sin 0 + r = c Example 7. Solve the equation [2r + y cos (ry)]dx + a cos (ry)dy = 0 Answer: sin (ry) + x? = c Example 8. Solve the equation 2r [3r + y – ye-"]dr + [r² + 3y? + e=*]dy = 0 %3D Answer: r'y+y + ye + 2.r = c
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