Here is the problem: {(dy/dx)+(x(y+1)^2)/(y(x+1)^2)=0, y(0)=0}
I have separated and integrated using partial fractions, which gives:
ln|y+1| + 1/(y+1) = ln|x+1| + 1/(x+1) + Constant
Maybe I've been at this for too long, but I can't figure out how to solve for y to determine my constant...
Thanks! Sorry for the simple error. Correcting the signs gives:
ln|y+1| + 1/(y+1) = - ln|x+1| - 1/(x+1) + C
ln|y+1| + 1/(y+1) + ln|x+1| + 1/(x+1) = C
for y(0)=0, ln|1| + 1 + ln|1| + 1 = C
1 + 1 = C = 2
so, ln|y+1| + 1/(y+1) + ln|x+1| + 1/(x+1) = 2
Thanks again, Dan.
-Shane