`dy/dx=-(cosx(3cosy-7sinx-3))/(siny(3sinx-7cosy+7))`

cosx(1+cosy)dx-siny(1+sinx)dy=0

(cosx-cosy)^(2)+(sinx-siny)^(2)=?

dy/dx = (1-sinx)/(1+cosy)

If Delta=|(sinx.cosy,sinx.siny,cosx),(cosx.cosy,cosx.siny,-siny),(-sinxsiny,sinx.cosy,0)| , then Delta is independent of a)x b)y c)constant d)None of these

Solve: 1. (x+1)(dy)/(dx)=2x y 2. cosx(1+cosy)dx-s in y(1+sinx)dy=0

(cosy+ycosx)dx+(sinx-xsiny)dy=0

(cosx+cosy)^(2)|(sinx-siny)^(2)=4cos^(2)(x+y)/(2)

Prove that : (cosx-cosy)^(2)+(sinx-siny)^(2)=4sin^(2)""(x-y)/(2)

Find dy/dx of (cosx)^y=(cosy)^x