Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Question
![Solve the following differential equation. Show your complete solution.
1. (1-x)y' = y².
2. x² dx + y(x-1)dy = 0.
3. 2(2x² + y²) dx - xydy = 0.
4. (x + y)dx + (2x - y)dy = 0.
5. (x5 + 3y)dx - xdy = 0
6. y' = x - 4xy.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc4dacdf3-0201-4e7f-a178-d132b1817075%2F8f59f582-790b-4629-a718-3c55eb00a338%2F72ibxqo_processed.png&w=3840&q=75)
Transcribed Image Text:Solve the following differential equation. Show your complete solution.
1. (1-x)y' = y².
2. x² dx + y(x-1)dy = 0.
3. 2(2x² + y²) dx - xydy = 0.
4. (x + y)dx + (2x - y)dy = 0.
5. (x5 + 3y)dx - xdy = 0
6. y' = x - 4xy.
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Follow-up Question
![2. (x + y − 1)dx + (2x - y)dy = 0.](https://content.bartleby.com/qna-images/question/c4dacdf3-0201-4e7f-a178-d132b1817075/1c50a7df-971c-489b-a9ef-2d7acd78bfbc/jbzq033_thumbnail.png)
Transcribed Image Text:2. (x + y − 1)dx + (2x - y)dy = 0.
Solution
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