I'm not sure how to do this; I figured I should use separation of variables but I got the wrong equation. Help is appreciated, thanks!
If dy/dx=(1+x)/(xy), x > 0, and y = –4 when x =1, when x =3, y = ?
A. 6.433, −6.233
B. 3.898, −3.898
C. 4.711, −4.711
D. 4.711 only
E. 3.898 only
dy/dx = (1+x)/xy
y dy = (1+x)/x dx
1/2 y^2 = lnx + x + c
since y(1) = -4,
ln 1 + 1 + c = 8
c = 7
1/2 y^2 = lnx + x + 7
. . .