If `(d^2x)/(dy^2)((dy)/(dx))^3+(d^2y)/(dx^2)=K`then the value of k is equal to

Solve (d^2y)/(dx^2)=((dy)/(dx))^2

Solve (d^2y)/(dx^2)=((dy)/(dx))^2

If (d^(2)x)/(dy^(2)) ((dy)/(dx))^(3) + (d^(2) y)/(dx^(2)) = k , then k is equal to

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

If x=(1+t)/(t^3),y=3/(2t^2)+2/t , then x((dy)/(dx))^3-(dy)/(dx) is equal to (a) 0 (b) -1 (c) 1 (d) 2

If the independent variable x is changed to y , then the differential equation x(d^2y)/(dx^2)+((dy)/(dx))^3-(dy)/(dx)=0 is changed to x(d^2x)/(dy^2)+((dx)/(dy))^2=k where k equals____

If the independent variable x is changed to y , then the differential equation x(d^2y)/(dx^2)+((dy)/(dx))^3-(dy)/(dx)=0 is changed to x(d^2x)/(dy^2)+((dx)/(dy))^2=k where k equals____

The differential equation of the family of curves whose equation is (x-h)^2+(y-k)^2=a^2 , where a is a constant, is (A) [1+(dy/dx)^2]^3=a^2 (d^2y)/dx^2 (B) [1+(dy/dx)^2]^3=a^2 ((d^2y)/dx^2)^2 (C) [1+(dy/dx)]^3=a^2 ((d^2y)/dx^2)^2 (D) none of these

(d^2x)/(dy^2) equals: (1.) ((d^2y)/(dx^2))^-1 (2) -((d^2y)/(dx^2)) ((dy)/(dx))^-3 (3) -((d^2y)/(dx^2))^-1 ((dy)/(dx))^-2 (4) -((d^2y)/(dx^2))^-1 ((dy)/(dx))^3

If R=([1+((dy)/(dx))^2]^(-3//2))/((d^2y)/(dx2)) , then R^(2//3) can be put in the form of 1/(((d^2y)/(dx^2))^(2//3))+1/(((d^2x)/(dy^2))^(2//3)) b. 1/(((d^2y)/(dx^2))^(2//3))-1/(((d^2x)/(dy^2))^(2//3)) c. 2/(((d^2y)/(dx^2))^(2//3))+2/(((d^2x)/(dy^2))^(2//3)) d. 1/(((d^2y)/(dx^2))^(2//3))dot1/(((d^2x)/(dy^2))^(2//3))