If `y=a\ x^(n+1)+b x^(-n)` and `x^2(d^2y)/(dx^2)=lambday` , then write the value of `lambda` .

If y=ax^(n+1)+bx^(-n) and x^(2)(d^(2)y)/(dx^(2))=lambda y then write the value of lambda.

If y=a x^(n)+b x^(-n) ,then x^2(d^2y)/(dx^2) is equal to

If y = ax^(n+1)+bx^(n+1) then x^2(d^2y)/(dx^2) is equal to

If y=2x^(n+1)+3xn ,then x^2d^2y/dx^2 is

If y=2^(n+1)+(3)/(x^(n)) , then x^(2)(d^(2)y)/(dx^(2)) is

If m and n are the order and degree, respectively of the differential equation y((dy)/(dx))^(3) + x^(3)((d^(2)y)/(dx^(2)))^(2) - xy = sin x , then write the value of m + n.

If y=a x^(n+1)+b x^(-n) , then x^2(d^2y)/(dx^2)= n(n-1)y (b) n(n+1)y (c) n y (d) n^2y

If x^m y^n=(x+y)^(m+n) , prove that (d^2y)/(dx^2)=0

If y=(x+sqrt(1+x^2))^n then (1+x^2)(d^2y)/(dx^2)+x(dy)/(dx)