if `(x-a)^2+(y-b)^2=c^2` then `{1+((dy)/(dx))^2}/{(d^2y)/(dx^2)} =?`

if (x-a)^(2)+(y-b)^(2)=c^(2) then (1+((dy)/(dx))^(2))/((d^(2)y)/(dx^(2)))=?

If x^(2)+y^(2)=1 then (y'=(dy)/(dx),y''=(d^(2)y)/(dx^(2)))

If x^2/a^2 - y^2/b^2 =1 then (dy)/(dx)=

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

If (x-a)^(2)+(y-b)^(2)=c^(2), for some c>0[1+((dy)/(dx))^(2)]^((3)/(2)) provethat ([1+((dy)/(dx))^(2)]^((3)/(2)))/((d^(2)y)/(dx^(2))) is a constant independent of a and b.

find the order and degree of D.E : (1) ((d^(2)y)/(dx^(2) ))^2 + ((dy)/(dx))^(3) = e^(x) (2) sqrt(1 + 1/((dy)/(dx))^(2))= ((d^(2)y)/(dx^(2)))^(3/2) (3) e^((dy)/(dx))+ (dy)/(dx) =x