Question

This is a problem in differential equations:

|y| = e^-3x * e^-3C

This is also an initial value problem where
y(5) = 10

The instructor said that since we're solving for C we can just simplify the equation to

|y| = e^-3x * C

Why?

Answer 1

10 = e^-(3*5) * e^-3C

Answer 2

e^-3C is a constant itself ... you can suppose it anything.
Let it be 'k'

then we have 10 = e^-(3*5) * k

Answer 3

Ok, I get it, sort of.