I can't seem to get the solution in my text book, the problem is:
I began by reorganizing to:
expanding the y term and integrating:
giving the following:
where K is the combined constant of integration from both sides
now when I take the exponential, I think I have to raise e to the entire
right side and that I can't do it term by term which simplifies to a division
using log properties and then canceling out the e and ln
now I was thinking I could drop all the absolute values if I throw a +\-
in front of the remaining exponential, so we'll say
solving for y yields:
however my textbook gives:
Please let me know if you can see my mistake, thanks
. You have the sign wrong. You should have
The sign error I pointed out above means this should be so y-1= Cxy, Cxy- y= (Cx-1)y= -1. That gives what your textbook says.giving the following:
where K is the combined constant of integration from both sides
now when I take the exponential, I think I have to raise e to the entire
right side and that I can't do it term by term which simplifies to a division
using log properties and then canceling out the e and ln
now I was thinking I could drop all the absolute values if I throw a +\-
in front of the remaining exponential, so we'll say
solving for y yields:
however my textbook gives:
Please let me know if you can see my mistake, thanks