(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

If dy/dx=xy^2 and x=1 when y=1, then y=

(A) x^2

(B) -2/(x^2 -3)

(C) x^2 + 3

(D) 2/(x^2 +1)

(E) (x^2 -3)/2

2. Relevant equations

3. The attempt at a solution

dy/dx=xy^2

dy=xy^2dx

dy/y^2=x dx

∫dy/y^2=∫x dx

-1/y = x^2/2 + C

y=-2/x^2 + C

1=-2/1^2 + C

C=3

y=-2/x^2 +3

but thats not the answer...

please help i have the AP test tomorrow.

thanks

much appreciated

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Implicit differentiation dy/dx=xy^2

**Physics Forums | Science Articles, Homework Help, Discussion**