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If ye^(y) dx = (y^(3) + 2xe^(y))dy, then...

If `ye^(y) dx = (y^(3) + 2xe^(y))dy`, then the I.F will be

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The correct Answer is:
I.F. `= e^(-2 Iny) = (1)/(y^(2))`
`ye^(y) dx = (y^(3)+2xe^(y))dy`
`rArr" "(dx)/(dy)=(y^(2))/(e^(y))+(2x)/(y)`
`rArr" "(dx)/(dy)-(2)/(y)x=(y^(2))/(e^(y))`
I.F. `= e^(-2 Iny) = (1)/(y^(2))`
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CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
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  14. Solution of the differential (x+2y^(3))=(dx)/(dy)y is

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