Hello, custer!

1. Is the the combination of the constants of the integrals of LHS and RHS? .Yes!

And therefore we only add to either side of the equation and not both? .Right!

2. No matter which side I place the for any differential equation problem,

will I get the same result? . Yes!If it is possible for the argument to be negative, absolute values should be used.3. And lastly.. must I include a modulus sign after a log or ln?

e.g. . . . or just will do?

For your example, we should write: .

. . but for the absolute values are redundant (but not incorrect).