Question

is e^(xy) +y =x-1 an implicit solution to dy/dx = (e^(-xy) -y))/(e^(-xy) +x)) ?

Answer 1

use implicit diff. on e^(xy) +y =x-1
see if it matches the RHS

Answer 2

Or I should say....
use implicit diff. on e^(xy) +y =x-1
sub.s in for dy/dx into the other expression...

Answer 3

that si swhat i tried but i am getting a wiered answer

Answer 4

i have dy/dx =-ye^(xy) / x e^(xy)

Answer 5

let me check...

Answer 6

hmm I got a different result

Answer 7

what do you get

Answer 8

ok I got the correct result... I just checked..

Answer 9

look closer at your differentiation of
\[e ^{xy}\]

Answer 10

remember that
\[(e ^{f(x)})\prime = e ^{f(x)} * f \prime (x)\]

Answer 11

that's a bit messy... let me use the draw pad

Answer 12

ok ...alright