- #1

Duderonimous

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## Homework Statement

How can one simply let C=lnk? Thus changing

y=[itex]\pm[/itex][itex]\sqrt{ln(t^{2}+1)+C}[/itex]

to

y=[itex]\pm[/itex][itex]\sqrt{ln[k(t^{2}+1)]}[/itex]

## Homework Equations

None

## The Attempt at a Solution

I know they are both arbitrary constants, are there restrictions on the allowed values of the constants? Actually I checked the answer in the book and it said k is allowed to be any positive real number. I understand because it is under the radical. Insight into this would be helpful.