Home
Class 12
MATHS
Find . (d^2y)/(dx^2),ifx=a t^2,y=2a t....

Find . `(d^2y)/(dx^2),ifx=a t^2,y=2a t`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    RD SHARMA ENGLISH|Exercise All Questions|406 Videos

  • INCREASING AND DECREASING FUNCTION

    RD SHARMA ENGLISH|Exercise All Questions|232 Videos

Similar Questions

Explore conceptually related problems

Find (d^2y)/(dx^2) , if x=a t^2,\ \ y=2a t .

Find (dy)/(dx) , if x=a t^2, y=2a t .

If x and y are connected parametrically by the equations given, without eliminating the parameter, Find (dy)/(dx) . x=2a t^2, y=a t^4

If x=2cost-cos2t ,\ \ y=2sint-sin2t , find (d^2y)/(dx^2) at t=pi/2 .

Find (dy)/(dx) , when x=a t^2 and y=2\ a t

If x=2cost-cos2t ,y=2sint-sin2t ,"f i n d"(d^2y)/(dx^2)"a t"t=pi/2dot

Find (dy)/(dx), when x=(3a t)/(1+t^2)" and "y =(3a t^2)/(1+t^2)

If x=int_0^y (dt)/sqrt(1+9t^2) and (d^2y)/(dx^2)=ay , then find a

If y=Acosn x+Bsinn x ,s howt h a t (d^2y)/(dx^2)+n^2y=0

If x=cost+logtan(t/2),\ \ y=sint , then find the value of (d^2y)/(dt^2) and (d^2y)/(dx^2) at t=pi/4 .

RD SHARMA ENGLISH-HIGHER ORDER DERIVATIVES-All Questions
  1. If y=(logx)/x ,show\ tha t(d^2y)/(dx^2)=(2logx-3)/(x^3)

    Text Solution

    |

  2. If y=2 sin x+3cos x, show that (d^2y)/(dx^2)+y=0

    Text Solution

    |

  3. Find . (d^2y)/(dx^2),ifx=a t^2,y=2a t.

    Text Solution

    |

  4. If x=sin theta,y=cosptheta,p rov e \ t h a t (1-x^2)y2-x y1+p^2y=0,w ...

    Text Solution

    |

  5. If y=tan^-1x find (d^2y)/(dx^2) in terms of y alone.

    Text Solution

    |

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

    Text Solution

    |

  7. If y^3-y=2x ,p rov et h a t(d^2y)/(dx^2)=(-24 y)/((3y^2-1)^3)

    Text Solution

    |

  8. If y=x^x ,f i n d \ (d^2y)/(dx^2)

    Text Solution

    |

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

    Text Solution

    |

  10. If y=Acosn x+Bsinn x ,s howt h a t (d^2y)/(dx^2)+n^2y=0

    Text Solution

    |

  11. If y=tanx+secx ,p rov e \ t h a t \ (d^2y)/(dx^2)=(cosx)/((1-sinx)^2)

    Text Solution

    |

  12. If y=(a x+b)/(x^2+c), then (2x y1+y) y3=

    Text Solution

    |

  13. If y=(log)e(x/a)^x ,then x^3y2= (a) (xy1-y)^2 (b) ((y-x y1)/(y1))^2 ...

    Text Solution

    |

  14. If sin^-1x + sin^-1(1-x) = sin^-1sqrt[1-x^2],then x is equal to

    Text Solution

    |

  15. If y=2/(sqrt(a^2-b^2))tan^(-1){sqrt((a-b)/(a+b))tan(x/2)} , then show ...

    Text Solution

    |

  16. If y=x^(n-1)lnx then x^2y2+(3-2n)x y1 is equal to (a) -(n-1)^2y (b) (...

    Text Solution

    |

  17. If x y-(log)e y=1 satisfies the equation x(y y2+y1 2)-y2+lambday y1=0,...

    Text Solution

    |

  18. If x=f(t )cost-f^(prime)(t)sint and y=f(t)sint+f^(prime)(t)cost ,t h ...

    Text Solution

    |

  19. If d/(dx){x^n-a1x^(n-1)+a2x^(n-2)++(-1)^n an}e^x=x^n e^x , then the va...

    Text Solution

    |

  20. If x=f(t) and y=g(t), then (d^2y)/(dx^2) is equal to

    Text Solution

    |