Question

Solve the following DE:
\[(1-3/y+x)dy/dx+y=3/x-1\]
I got
\[\Psi=xy-3\ln(x)+x+y+3\ln(y)=c\]
using the Exact equation method.
Is that correct?

Answer 1

I got some different signs in my answer. I got xy-3in(x)-x+y-3ln(y)=c
im going over my work right now

Answer 2

sorry, that in(x) should be an ln(x)

Answer 3

It probably should be a positive since it's coming from the "+x", but check just in case. Thanks

Answer 4

i made a mistake, i now got xy - 3ln(x) + x + y - 3ln(y) = c

Answer 5

yep, that's right joe

Answer 6

Yeah, you're right. I stuck a +in there. So close!