Home
Class 12
MATHS
If 2x=y^(1/5)+y^(-1/5) then (x^2-1)(d^2y...

If `2x=y^(1/5)+y^(-1/5)` then `(x^2-1)(d^2y)/dx^2+xdy/dx=ky` , then find the value of k.

A

-25

B

25

C

16

D

-16

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|138 Videos
  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos
  • INTEGRATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|29 Videos

Similar Questions

Explore conceptually related problems

If 2x=y^((1)/(5))+y^(-(1)/(5)) then (x^(2)-1)(d^(2)y)/(dx^(2))+x(dy)/(dx)=ky, then find the value of k .

If y=sin(2sin^-1x) show that (1-x^2)(d^2y)/(dx^2)= xdy/dx-4y

x^2dy+(y-1/x)dx=0 at y(1)=1 then find the value of y(1/2)

If y= e ^(mcos ^(-1)x) ,then (1-x^(2) ) (d^(2)y)/(dx^(2)) -x(dy)/(dx)=

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

If sin^(-1)x+sin^(-1)y=pi and x=ky then find the value of (39)^(2k)+5^(k)

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

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

TARGET PUBLICATION-DIFFERENTIATION -EVALUATION TEST
  1. If f(x) = cos x cos 2x cos 4x cos (8x). cos 16x then find f' (pi/4)

    Text Solution

    |

  2. If d/(dx)((1+x^4+x^8)/(1+x^2+x^4))=ax^3+bx,then

    Text Solution

    |

  3. If 2x=y^(1/5)+y^(-1/5) then (x^2-1)(d^2y)/dx^2+xdy/dx=ky , then find t...

    Text Solution

    |

  4. if sqrt(x^2+y^2)=ae^(tan^-1 (y/x)) , a > 0, (y(0) > 0) then y"(0) equa...

    Text Solution

    |

  5. If f(x), g(x), h(x) are polynomials in x of degree 2 If F(x)=|[f,g,h],...

    Text Solution

    |

  6. If y= cos ax and yn is n^(th) derivative of y, then |{:(y,y1,y2),(y3...

    Text Solution

    |

  7. If y = sin[cos^(-1){sin(cos^(-1) x)}], "then" (dy)/(dx)" at x" = (1)/...

    Text Solution

    |

  8. If 8f(x)+6f(1/x)=x+5 and y=x^2(f(x), then (dy)/(dx) at x=-1 is equal t...

    Text Solution

    |

  9. If the function f defined on R-{0} os a dIfferentiable function and f(...

    Text Solution

    |

  10. If the function f(x)=x^(3)+e^(x//2)andg(x)=f^(-1)(x), then the value ...

    Text Solution

    |

  11. If y=f(x^3),z=g(x^5),f'(x)=tanx and g'(x)=sec x, then (dy)/(dz)=

    Text Solution

    |

  12. If sqrt(1-x^6)+sqrt(1-y^6)=a(x^3-y^3),p rov et h a t(dy)/(dx)=(x^2)/(y...

    Text Solution

    |

  13. Let fx) be a polynomial function of second degree. If f(1)= f(-1) and ...

    Text Solution

    |

  14. If x=sectheta-costheta and y=sec^n theta- cos^n theta then show that (...

    Text Solution

    |

  15. If f(x)=|{:(x,sinx,cosx),(x^2,tanx,x^3),(2x,sin2x,5x):}| then lim(x...

    Text Solution

    |

  16. If g is the inverse of a function f and f'(x) = 1/(1+x^(5)), then g'(x...

    Text Solution

    |

  17. If y=sinx[1/(sinxsin2x)+1/(sin2xsin3x)+...+1/(sinnx sin (n+1)x)]the...

    Text Solution

    |

  18. if y=e^(sin^2x+sin^4x+sin^6x+............oo) then find (dy)/(dx)

    Text Solution

    |

  19. If y=tan^(-1)1/(1+x+x^2)+tan^(-1)1/(x^2+3x+3)+tan^(-1)1/(x^2+5x+7)++ u...

    Text Solution

    |

  20. If y=a sin (bx+c), then yn=

    Text Solution

    |