If `x=sint,y=sinpt`, prove that `(1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)+p^2 y=0`.

If x=sint ,y=sinpt , prove that (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)+p^2y=0.

If x=sint and y=sinp t , prove that (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)+p^2y=0.

If x=sint and y=sinp t , prove that (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)+p^2y=0.

If x=sint and y=sinp t , prove that (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)+p^2y=0.

If x=sint ,y=sinp t ,"p r o v et h a t" (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)+p^2y=0.

If y=sin^(-1) x, prove that (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)=0

If x=sin t and y=sin pt, prove that (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)+p^(2)y=0

If y=sin^(-1)x, prove that (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)=0

(i) if x=sint , y= sinpt , then show that (1-x^2) d^2 y/dx^2 - x dy/dx +p^2 y =0 . Br Determine the differentials of z=cos 2t -2 cot t .

If y=sin^(-1)x then prove that (1-x^(2))(d^(y))/(dx^(2))-x(dy)/(dx)=0