Question

I need a bit of help, Exact Equations:

Answer 1

\(\LARGE (tanx-sinx ~siny)dx+cosx~cosy~dy=0 \)

I don't understand how to find the partials

Answer 2

intrtesting

Answer 3

You trying to solve for y?

Answer 4

\[\frac{dy}{dx} = \frac{-\tan x+\sin x \sin y}{\cos x \cos y}\] then integrate while treating sin y and cos y as constants, then repeat for dx/dy (I think)

Answer 5

Integrate the entire expression
1st part wr to x and 2nd part wr to y

Answer 6

\[M=\tan(x)-\sin(x)\sin(y) \\ N=\cos(x)\cos(y) \\ M_y=(\tan(x)-\sin(x)\sin(y))_y=(\tan(x))_y-(\sin(x)\sin(y))_y \\ M_y=0-\sin(x)(\sin(y))_y =-\sin(x)(\cos(y))\]
\[\text{ Now you need to find } N_x \]