For the given differential equation 2y(x +y + 2)dx + (y² – x² – 4x – 1)dy = 0, with the integrating factor Ø = Ø(y) = y-2 do the following: a. Verify Ø = Ø(y) = y-2 as I.F. by performing second Test for exactness b. Find the general solution -.

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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For the given differential equation 2y(x + y + 2)dx + (y²-x² - 4x - 1)dy = 0, with the integrating factor Ø = 0(y) = y2 do the following:

a. Verify Ø = Ø(y) = y2 as I.F. by performing second Test for exactness

b. Find the general solution

For the given differential equation 2y(x + y + 2)dx + (y² – x² – 4x – 1)dy = 0, with the integrating
factor Ø = Ø(y) = y-2 do the following:
a. Verify Ø = Ø(y) = y-2 as I.F. by performing second Test for exactness
b. Find the general solution
%3D
Transcribed Image Text:For the given differential equation 2y(x + y + 2)dx + (y² – x² – 4x – 1)dy = 0, with the integrating factor Ø = Ø(y) = y-2 do the following: a. Verify Ø = Ø(y) = y-2 as I.F. by performing second Test for exactness b. Find the general solution %3D
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