[" 2) (x-y) "(dy)/(dx)=x+2y],[" (N.CRR "T_(i)" .H.P.R."2015" ,"M_(i)" A.I.C.R.S.E."2010" ) "],[" (ii) "(x-y)dy=(x+2y)dx" ."]

(i) x(dy)/(dx)+y=log x

If x^(2y)=e^(x-y)," then "(dy)/(dx)=

y^2+x^2(dy)/(dx)=x y(dy)/(dx)

I.F.for y in y(dx)/(dy)+x-ln y=0 is

(i) If y=(sinx), find (dy)/(dx) . (ii) If y=(cosx)^(x) , find (dy)/(dx) . (iii) If y=(tanx)^(x) , find (dy)/(dx) .

Express the following differential equations in the form f(x)dx+g(y)dy = 0 (i) (dy)/(dx) = (2y)/(x) (ii) x+y(dy)/(dx) = 0 (iii) (dy)/(dx) = e^(x-y) + x^(2).e^(-y) (iv) (dy)/(dx) + x^(2) = x^(2)e^(3y)