- #1
Aerosion
- 53
- 0
Homework Statement
so here's my equation:
dy/dx=(xy+3x-y-3)/(xy-2x+4y-8)
so what i did first was factor out the right side
=(x+1)(y-3)/(x+4)(y-2)
then i did a bunch of manipulation to get the ys on one side and the xs on another (i won't write this out right now but if anyone wants me to i can)
and got
(y-2)/(y+3) dy = (x-1)/(x+4) dx
of course i integrate, i get
y-5*ln(y+3) = x-5ln(x+4)
i want to get rid of the lns, right? so i multiplied them by e (like e^(ln(y+3)
then i got -4y-15=-4x-20
i'm not sure what to do after this because i looked at the answer at the back of my book and it said something completely different to what I've done so far, any help?