If `x=costheta,ysin^3theta,"p r o v et h a t"` `y(d^2y)/(dx^2)+((dy)/(dx))^2=3sin^2theta(5cos^2theta-1)dot`

If x=costheta,y=sin^3theta,"prove that" y(d^2y)/(dx^2)+((dy)/(dx))^2=3sin^2theta(5cos^2theta-1)dot

If x=cos theta,y sin^(3)theta, prove that y(d^(2)y)/(dx^(2))+((dy)/(dx))^(2)=3sin^(2)theta(5cos^(2)theta-1)

If x=costheta , y=s in^3theta , prove that y\ (d^2y)/(dx^2)+((dy)/(dx))^2=3\ s in^2theta(5\ cos^2theta-1) .

If x=cos theta,y=s in^(3)theta, prove that y(d^(2)y)/(dx^(2))+((dy)/(dx))^(2)=3s in^(2)theta(5cos^(2)theta-1)

If x= cos theta , y= sin^3 theta , show that y( d^2 y)/(d x^2 ) + (dy/dx)^2 = 3 sin^2 theta (5 cos^2 theta - 1)

If x= cos theta , y= sin^3 theta , show that y ( d^2 y)/(d x^2 ) + (dy/dx)^2 = 3 sin^2 theta (5 cos^2 theta - 1)

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 x=a(1-cos^3theta),y=asin^3theta,"p r o v et h a t"(d^2y)/(dx^2)=(32)/(27a) "at" theta=pi/6dot

If x=costheta,y=sin5theta," then "(1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)=

If x=cos theta,y=sin5 theta then (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)=