- #1

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## Homework Statement

y= e^xy

y'= ?

## Homework Equations

y' [a^x] = lna(a^x)

y' [uv] = uv' + vu'

## The Attempt at a Solution

y = e^xy

lny = lne^xy

lny = xy(lne) = xy

(1/y)y' = (x)(y') + (y)(1)

y' = xy(y') + y^2

From here I don't know how to isolate the derivative. (And I feel like I shouldn't have done this implicitly...)