Question

Implicit function

Answer 1

\[2x + 2ydy/dx = 0 \]

Answer 2

I got

\[\int\limits dy dy/dx = \int\limits - 2x \]

\[y^2 = -x^2 + C\]

the only problem is that I can't take a square root of a negative... am I doing something wrong?

Answer 3

*y dy/dx

Answer 4

Nope! Looks good!
You don't really want to solve this one explicitly for y unless the directions say so. Notice how if you add x^2 to both sides, it's the equation of a circle! :D

Answer 5

lol yea, i had 2 solutions. down for the slope fields. so it's x^2+ y^2 = C?

Answer 6

yah that sounds right c:

Answer 7

oooohh thank-yuh!