y=2x((dy)/(dx))+x^(2)((dy)/(dx))^(4)

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

The solution of y-x((dy)/(dx))=a(y^(2)+((dy)/(dx))) is

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

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

y-x(dy)/(dx)=a(y^(2)+(dy)/(dx))is

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

If y=x log((x)/(a+bx)), thenx ^(3)(d^(2)y)/(dx^(2))= (a) x(dy)/(dx)-y (b) (x(dy)/(dx)-y)^(2)y(dy)/(dx)-x(d)(y(dy)/(dx)-x)^(2)

a(x(dy)/(dx)+2y)=xy(dy)/(dx)

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

Which one of the following differential equations represents the family of straight lines which are at unit distance from the origin a) (y-x(dy)/(dx))^2=1-((dy)/(dx))^2 b) (y+x(dy)/(dx))^2=1+((dy)/(dx))^2 c)(y-x(dy)/(dx))^2=1+((dy)/(dx))^2 d) (y+x(dy)/(dx))^2=1-((dy)/(dx))^2