" 1."(dy)/(dx)=(y-x)/(x+y)

If ye^(y)=x , prove that, (dy)/(dx)=(y)/(x(1+y)) .

If y=x+(1)/(x+(1)/(x+(1)/(x+...oo)))," prove that "(dy)/(dx)=(y)/((2y-x)).

If y=x+(1)/(x+(1)/(x+(1)/(x+1))), prove that (dy)/(dx)=(y)/(2y-x)

The solution of 2(dy)/(dx_(1)) = (y)/(x)+(y^(2))/(x^(2)) is

The differential equation representing the family of curves y=xe^(cx) (c is a constant ) is a) (dy)/(dx)=(y)/(x)(1-"log"(y)/(x)) b) (dy)/(dx)=(y)/(x)"log"((y)/(x))+1 c) (dy)/(dx)=(y)/(x)(1+"log"(y)/(x)) d) (dy)/(dx)+1=(y)/(x)"log"((y)/(x))

If ye^(y)=x, prove that,(dy)/(dx)=(y)/(x(1+y))

y-x(dy)/(dx)=x+y(dy)/(dx)

Solve: y-x(dy)/(dx)=x+y(dy)/(dx)