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4. Verify whether the following equation is exact. If possible, solve the equation. a) (2.re +u + 2ry)da + (2ye+y² + 2xy)dx + (2ye#²+y? + x²)dy = 0 b) (2xe=²+y² + 2xy)dx + (2ye+y“ + x)dy = 0 c) For both examples explain steps of your solution in your own words (line by line).

4. Verify whether the following equation is exact. If possible, solve the equation. a) (2.re +u + 2ry)da + (2ye+y² + 2xy)dx + (2ye#²+y? + x²)dy = 0 b) (2xe=²+y² + 2xy)dx + (2ye+y“ + x)dy = 0 c) For both examples explain steps of your solution in your own words (line by line).

Calculus: Early Transcendentals
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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**Problem 4: Verify Exactness of Equations** Verify whether the following equation is exact. If possible, solve the equation. a) \((2xe^{x^2+y^2} + 2xy)dx + (2ye^{x^2+y^2} + x^2)dy = 0\) b) \((2xe^{x^2+y^2} + 2xy)dx + (2ye^{x^2+y^2} + x)dy = 0\) c) For both examples, explain the steps of your solution in your own words (line by line).
Transcribed Image Text:**Problem 4: Verify Exactness of Equations** Verify whether the following equation is exact. If possible, solve the equation. a) \((2xe^{x^2+y^2} + 2xy)dx + (2ye^{x^2+y^2} + x^2)dy = 0\) b) \((2xe^{x^2+y^2} + 2xy)dx + (2ye^{x^2+y^2} + x)dy = 0\) c) For both examples, explain the steps of your solution in your own words (line by line).
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