`(d^2y)/(dx^2)=-a/((1-x^2)^(3/2))`

If y=sin^(-1)x , \ s how \ t h a t \ (d^2y)/(dx^2)=x/((1-x^2)^(3/2))

If y=sin^(-1)x , show that (d^2y)/(dx^2)=x/((1-x^2)^(3//2))

Solve the differential equation (d^2y)/(dx^2)=(x-1)/(2x-x^2)^(3//2)

If x sqrt(1-y^(2))+y sqrt(1-x^(2))=a then show that (d^(2)y)/(dx^(2))=-(a)/((1-x^(2))^((3)/(2)))

If y=sin^(-1)x, show that (d^(2)y)/(dx^(2))=(1)/((1-x^(2))^(3/2))

If y=sin^(-1)x,quad show that (d^(2)y)/(dx^(2))=(x)/((1-x^(2))^((3)/(2)))

If m and n are the order and degree of the differential equation ((d^2y)/(dx^2))+4(((d^2y)/(dx^2))^2)/(((d^3y)/(dx^3)))+(d^3y)/(dx^3)=x^2-1 , then

If m and n are the order and degree of the differential equation ((d^2y)/(dx^2))+4(((d^2y)/(dx^2))^2)/(((d^3y)/(dx^3)))+(d^3y)/(dx^3)=x^2-1 , then

If dy/dx=1/(dx/dy) , Show that (d^2y)/(dx^2)=(-(d^2x)/dy^2)/((dx/dy)^3)