Determine whether differential equations below are exact or not. 1. cosy + x²y + sinx + x COSX + xy = 0. dy dx 2. 2x³ - xy² - 2y + 3 dx- x²y + 2x dy = 0 dy 3. 2xe + x²e + cosy = 0 dx 3 4. 3x²y - 1 dx + x³ + 6y-y² dy = 0 5. 3x²y + e dx + x³ + xe- 2y dy = 0.

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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Determine whether differential equations below are exact or not.
1. cosy + x²y +
dy
dx
sinx + x cosx + xy = 0.
2. 2x³ xy² - 2y + 3 dx- x²y + 2x dy = 0
dy
3. 2xe + x² + cosy
dx
4. 3x²y- 1 dx + x³ + 6y - y² dy = 0
5. 3x²y+ e dx + x² + xe - 2y dy = 0.
= 0
Transcribed Image Text:Determine whether differential equations below are exact or not. 1. cosy + x²y + dy dx sinx + x cosx + xy = 0. 2. 2x³ xy² - 2y + 3 dx- x²y + 2x dy = 0 dy 3. 2xe + x² + cosy dx 4. 3x²y- 1 dx + x³ + 6y - y² dy = 0 5. 3x²y+ e dx + x² + xe - 2y dy = 0. = 0
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