The equation y + ( 2 x − y e y ) y ′ = 0 is not exact but it becomes exact when the multiplied by the integrating factor μ ( x , y ) = y and then solve it.

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Chapter 2.6, Problem 21P

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To show: The equation $y+(2x−yey)y′=0$ is not exact but it becomes exact when the multiplied by the integrating factor $μ(x,y)=y$ and then solve it.

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