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Test the equation for exactness and solve the equation: (1+ y?)dx + (x²y + y)dy = 0

Test the equation for exactness and solve the equation: (1+ y?)dx + (x²y + y)dy = 0

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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Question
Test the equation for exactness and solve the equation: (1 + y²)dx + (x?y + y)dy = 0 a. tanx + In(1 + y?) = c b. 2 tan 1x+ In(1 + y?) = c c. 2 tan y + In(1 + y?) = c d. tan y + In(1 + y?) = c e. none of these
Transcribed Image Text:Test the equation for exactness and solve the equation: (1 + y²)dx + (x?y + y)dy = 0 a. tanx + In(1 + y?) = c b. 2 tan 1x+ In(1 + y?) = c c. 2 tan y + In(1 + y?) = c d. tan y + In(1 + y?) = c e. none of these
Solve for the solution of the Homogeneous DE: (y Vx? + y?)dx – xdy = 0 when x = 0; y = 1 %3D a. x? = 4y – 4 b. x? = 4 – 4y c. x? = 6 – 4y d. x? = 4y – 6 e. none of these
Transcribed Image Text:Solve for the solution of the Homogeneous DE: (y Vx? + y?)dx – xdy = 0 when x = 0; y = 1 %3D a. x? = 4y – 4 b. x? = 4 – 4y c. x? = 6 – 4y d. x? = 4y – 6 e. none of these
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