I was hoping someone would be able to tell me how the 1 - y ... seen @ (1) some how got multiplied by -1 ?, with the result seen @ (2).


Thanks for your help !

Guest Jun 11, 2018

To make it less confusing, first know that: \(1-y = -(y-1)\).

Then, using the property of absolute value function, we have: \(|-x| = |x|\)


It is supposed to be \(-\ln|1-y| + C\), however, \(-\ln|1-y| = -\ln|-(y-1)| = -\ln|y-1|\).

Both \(-\ln|1-y| + C\) and \(-\ln|y-1| + C\) are correct answers.

MaxWong  Jun 12, 2018

The straight lines around 1-y mean "take the absolute value of".  The absolute value of 1-y is the same as that of y-1, so, as Max noted, ln(|y-1|) is the same as ln(|1-y|).

Alan  Jun 12, 2018

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