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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 = Ø(y) = y 2 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) = y² as I.F. by performing second Test for exactness b. Find the general solution

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 = 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
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
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