Answered: Show whether the following functions…

Show whether the following functions are integrating factor of the following Non-exact Differential equation or not. ∅(y)=y-2 is the integrating factor of 2y(x+y+2)dx+ y2 - x2- 4x -1)dy=0

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.CR: Chapter 11 Review

Problem 5CR

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Question

Show whether the following functions are integrating factor of the following Non-exact Differential equation or not.

∅(y)=y^-2 is the integrating factor of 2y(x+y+2)dx+ y² - x²- 4x -1)dy=0

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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