Home
Class 12
MATHS
If y=ax^(n+1)+bx^(-n) then show that x^(...

If `y=ax^(n+1)+bx^(-n)` then show that `x^(2)y''=n(n+1)y`.

Promotional Banner

Topper's Solved these Questions

  • IPE:MAY-2016 (AP)

    SRISIRI PUBLICATION|Exercise SECTION-2|7 Videos

  • IPE:MAY-2016 (AP)

    SRISIRI PUBLICATION|Exercise SECTION-3|7 Videos

  • IPE:MAY-2015[TS]

    SRISIRI PUBLICATION|Exercise SECTION - C|4 Videos

  • IPE:MAY-2016(AP)

    SRISIRI PUBLICATION|Exercise QUESTIONS|24 Videos

Similar Questions

Explore conceptually related problems

If x = sec theta - cos theta = y = sec ''theta - cos ^(n) theta then show that ((dy)/(dx)) ^(2) = (n ^(2) ( y ^(2) + 4))/(x ^(2) + 4)

If (x_(1),y_(1)) and (x_(2),y_(2)) are the ends of a focal chord of the parabola y^(2) = 4ax then show that x_(1),x_(2)=a^(2),y_(1),y_(2)= -4a^(2)

If y = x ^(n-1) log x, then xy _(1)=

Show that If I _(n) =int cos ^(n) x dx, then show that I_(n) =1/n cos ^(n-1) x sin x + (n-1)/(n ) I_(n-2).

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

If I_(n) = int x^(-n) e^(ax) dx then prove that I_(n)=(-e^(ax))/((n-1)x^(n-1))+(a)/(n-1)I_(n-1)

If I_(n) = int x^(-n) e^(ax) dx then prove that I_(n)=(-e^(ax))/((n-1)x^(n-1))+(a)/(n-1)I_(n-1)

IF A=[{:(3,-4),(1,-1):}] then show that A^n=[{:(1+2n,-4n),(n,1-2n):}] , for any integer n ge1 .