" 63.If "y=(sin^(-1)x)/(sqrt(1-x^(2)))," then show that "(1-x^(2))(d^(2)y)/(dx^(2))-3x(dy)/(dx)-y=0

If y=(sin^(-1)x)/(sqrt(1-x^(2))) , the prove that (1-x^(2))(d^(2)y)/(dx^(2))-3x(dy)/(dx)-y=0 .

If y=(sin^(-1)x)/(sqrt(1-x^(2))), show that (1-x^(2))(d^(2)y)/(dx^(2))-3x(dy)/(dx)-y=0

If y=(sin^(-1)x)/(sqrt(1-x^(2))), show that (1-x^(2))(d^(2)y)/(dx^(2))-3x(dy)/(dx)-y=0

If y=(sin^(-1) x)/(sqrt(1-x^2)) , then show that (1-x^2)(d^2y)/(dx^2)-3x(dy)/(dx)-y=0 .

If y=log(x+sqrt(1+x^(2))), then show that (1+x^(2))(d^(2)y)/(dx^(2))+x(dy)/(dx)=0

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

answer the foll. Questions: (i) if y=(sin^(-1)x)/(sqrt(1-x^2)) , then show that (1-x^2) (d^2y)/dx^2-3x dy/dx -y=0

If y=(sin^(-1)\ x)/(sqrt(1-x^2)) , show that (1-x^2) (d^2\ y)/(dx^2)-\ 3x\ (dy)/(dx)-\ y=0

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

If y=(sin^(-1)x)/(sqrt(1-x^2)) , show that (1-x^2)(d^2y)/(dx^2)-3x(dy)/(dx)-y=0 .