(y+3x^(2))(dx)/(dy)=x

3x^(2)y+(dy)/(dx)=0

(x+2y^(3))(dy)/(dx)=y

y^(3) - (dy)/(dx) =x^(2) (dy)/(dx)

If e^(y//x)=(x)/(a+bx) then show that x^(3)(d)/(dx)((dy)/(dx))=(x(dy)/(dx)-y)^(2)

(y-x(dy)/(dx))=3(1-x^(2)(dy)/(dx))

If y=(3x-4)/(x+2) (x ne -2) , verify the relation (dy)/(dx)=(1)/((dx)/(dy)).

The solution of differential equation x^(2)=1+((x)/(y))^(-1)(dy)/(dx)+(((x)/(y))^(-2)((dy)/(dx))^(2))/(2!)+(((x)/(y))^(-3)((dy)/(dx))^(3))/(3!)

The degree and order of differential equatiion (x+y(dy)/(dx))^((1)/(2))=(x sin x((dy)/(dx))^(2)+y)/(((dy)/(dx))^(3)) is :