Which side should I put constant C on?

[EastWindBreaks]

Homework Statement

the second solution is the correct, I know you can put C on both sides and it simplifed to C2 on one side, but why can't you put C2 on the right side?

Homework Equations

The Attempt at a Solution

 

[member 587159]

Both are correct. $\frac{c}{x+2}$ and $\frac{1}{c(x+2)}$ are the same solutions! Why are they different?

 

[EastWindBreaks]

Both are correct. $\frac{c}{x+2}$ and $\frac{1}{c(x+2)}$ are the same solutions! Why are they different?

oh, because 1/C is just another C?

 

[member 587159]

oh, because 1/C is just another C?

Exactly.

 

[EastWindBreaks]

Exactly.

thank you!