The general solution of $${{dy} \over {dx}} = {{ax + h} \over {by + k}}$$ represents a circle only when

The order and degree of the differential equation $${\left( {1 + {{\left( {{{dy} \over {dx}}} \right)}^2}} \right)^3} = \rho {\left[ {{{{d^2}y} \over {d{x^2}}}} \right]^2}$$ are respectively

If $$xdy = y(dx + ydy);y(1) = 1$$ and $$y(x) > 0$$, then what is $$y( - 3)$$ equal to?

What are the degree and order respectively of the differential equation $$y = x{\left( {{{dy} \over {dx}}} \right)^2} + {\left( {{{dx} \over {dy}}} \right)^2}$$ ?