(dy)/(dx)

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

In (dy)/(dx),\ x is independent variable and y is the dependent variable. If independent and dependent variables are interchanged (dy)/(dx) becomes (dx)/(dy) and these two are connected by the relation (dy)/(dx)dot(dx)/(dy)=1 . Find a relation between (d^2y)/(dx^2) and (d^2x)/(dy^2)

In (dy)/(dx),x is a independent variable and y is the dependent variable.If independent and dependent variables are interchanged (dy)/(dx) becomes (dx)/(dy) and these two are connected by the relation (dy)/(dx)(dx)/(dy)=1. Find a relation between (d^(2)y)/(dx^(2)) and (d^(2)x)/(dy^(2))

In (dy)/(dx),x is independent variable and y is the dependent variable.If independent and dependent variables are interchanged (dy)/(dx) becomes (dx)/(dy) and these two are connected by the relation (dy)/(dx)(dx)/(dy)=1. Find a relation between (d^(2)y)/(dx^(2)) and (d^(2)x)/(dy^(2))