1. Use any appropriate method in finding the indicated solution of the following differential equations. 1. (1+ Inx)dx +(1+ lny)dy = 0 2. xcos²y dx + tanydy = 0 3. xcos? (2) – y| dx + xdy = 0; when x = 1,y == 4. x(x² + y²)²Cydx – xdy) + y®dy = 0 5. (ху? + у — х)dx + x(ху + 1)dy %3D0 6. (1– xy)-²dx + [y² + x²(1 – xy)-²]dy = 0; when x = 2,y = 1 7. y'tanx sin2y = sin²x + cos²y 8. (x + 2y – 1)dx + (2x + 4y – 3)dy = 0 9. (х — 1)у' %— у+2(х— 1)3 10. хdy — ydx — хузdх — ху3nxӑx — 0 %3D
1. Use any appropriate method in finding the indicated solution of the following differential equations. 1. (1+ Inx)dx +(1+ lny)dy = 0 2. xcos²y dx + tanydy = 0 3. xcos? (2) – y| dx + xdy = 0; when x = 1,y == 4. x(x² + y²)²Cydx – xdy) + y®dy = 0 5. (ху? + у — х)dx + x(ху + 1)dy %3D0 6. (1– xy)-²dx + [y² + x²(1 – xy)-²]dy = 0; when x = 2,y = 1 7. y'tanx sin2y = sin²x + cos²y 8. (x + 2y – 1)dx + (2x + 4y – 3)dy = 0 9. (х — 1)у' %— у+2(х— 1)3 10. хdy — ydx — хузdх — ху3nxӑx — 0 %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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Question
![1.
Use any appropriate method in finding the indicated solution of the following differential equations.
1. (1+ Inx)dx + (1 + lny)dy = 0
2. xcos²y dx + tanydy = 0
3. xcos? (2) – y] dx + xdy = 0; when x = 1,y =
4. x(x² + y²)²(ydx – xdy) + yºdy = 0
5. (ху? + у — х)dx + x(ху + 1)dy %3D0
6. (1— ху) -?dx + [y? + x?(1 — ху) ?]dy %3D 0; wheх %3D 2, у %3D1
7. y'tanx sin2y = sin?x + cos²y
8. (x + 2y – 1)dx + (2x + 4y – 3)dy = 0
9. (х— 1)у' %3 у+ 2(х — 1)3
10. хdy — ydx — хузӑх — хуз\пхdx —D 0
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3a34d643-88c4-4c63-b7ed-38af5bd3811a%2Ffd6f2215-4ae4-4865-a597-952e9ef31856%2Fne8dlt_processed.png&w=3840&q=75)
Transcribed Image Text:1.
Use any appropriate method in finding the indicated solution of the following differential equations.
1. (1+ Inx)dx + (1 + lny)dy = 0
2. xcos²y dx + tanydy = 0
3. xcos? (2) – y] dx + xdy = 0; when x = 1,y =
4. x(x² + y²)²(ydx – xdy) + yºdy = 0
5. (ху? + у — х)dx + x(ху + 1)dy %3D0
6. (1— ху) -?dx + [y? + x?(1 — ху) ?]dy %3D 0; wheх %3D 2, у %3D1
7. y'tanx sin2y = sin?x + cos²y
8. (x + 2y – 1)dx + (2x + 4y – 3)dy = 0
9. (х— 1)у' %3 у+ 2(х — 1)3
10. хdy — ydx — хузӑх — хуз\пхdx —D 0
%3D
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