It is separable im lost in how to get the answer,
I tried and made it to but im unsure as how to get my dy/y for 6lny sigh now im really getting confused. Anyone feel free to shed some light on the case in point.
galactus' (and cyph1e's) solution is much simpler and much shorter, but I think separation of variables in this case is quite instructive:
(or you could keep the -2 with the y's. It makes no difference.)
Now to integrate the left hand side.
Let
So
So
(A is my undetermined constant.)
Now is just a (positive) undetermined constant. Let's call this B.
The way to deal with the absolute value bars is to split this into two equations:
and
Since B is an undetermined (positive) constant anyway, let's say that we can have B be any constant (positive or negative) and just write this as one equation:
-Dan
That is what I thought. That is why I used the integrating factor instead of SOV. Apparently vodka didn't appreciate it, so I deleted it. Last time I answer a question by that poster.but I think separation of variables in this case is quite instructive
I have used my phenomenal cosmic powers to restore galactus' post. My reason is that other users can benefit from seeing the solution if they look up this thread. As I think galactus' solution was not only perfectly acceptable, but efficient and clearly explained I feel it should be included in this thread. (No offense to cyph1e's solution which I think is just as good.)
-Dan