Home
Class 12
MATHS
If y= a cos(log x) and A ((d^2 y)/(dx^2...

If `y= a cos(log x)` and `A ((d^2 y)/(dx^2)) + B (dy/dx) + C = 0` , then the values of `A, B, C` are............ A) `x^2`, -x, -y B) `x^2`, x, y C) `x^2`, x, y D) `x^2`, -x, -y

A

`x^2`, -x, -y

B

`x^2`, x, y

C

`x^2`, x, -y

D

`x^2`, -x, -y

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Differentiation

    CHETANA PUBLICATION|Exercise Exercise|127 Videos

  • DIFFERENTIAL EQUATIONS

    CHETANA PUBLICATION|Exercise EXERCISE|254 Videos

  • Indefinite Integration

    CHETANA PUBLICATION|Exercise Exercise|221 Videos

Similar Questions

Explore conceptually related problems

If y=log (log x) then (d^2y)/(dx^2) is equal to

If y = log(sin x) , find (d^2y)/(dx^2)

If y=cos(log x) , then x^(2)(d^(2)y)/(dx^(2))+x(dy)/(dx)+y is equal to

If y= log x , then find (d^2y) / (dx^2)

If y = x^(2) + x^(log x) , then (dy)/(dx) is

Find (d^2y)/(dx^2) if y= log(log x)

CHETANA PUBLICATION-Differentiation-Exercise
  1. If y= tan^(-1) (sqrt (frac {a-x}{a+x})), where -a < x < a then dy/dx= ...

    Text Solution

    |

  2. If x= a(costheta + sintheta), y= a(sintheta + costheta), then (d^2y)/(...

    Text Solution

    |

  3. If y= a cos(log x) and A ((d^2 y)/(dx^2)) + B (dy/dx) + C = 0 , then ...

    Text Solution

    |

  4. If x^y = e^(x-y), then dy/dx = ............ A) frac{1 + x}{1+ log x} ...

    Text Solution

    |

  5. If y= 1- cos theta, x= 1- sin theta, then dy/dx at theta = pi /4 is......

    Text Solution

    |

  6. If sec(frac{x+y}{x-y}) = a^2, then (d^2 y)/(dx^2) = ............ A) y...

    Text Solution

    |

  7. If y = sec^(-1) (frac{sqrt x - 1}{x+sqrt x}) + sin^(-1) (frac{x + sqr...

    Text Solution

    |

  8. Derivative of tan^3theta with respect to sec^3theta at theta = (pi/3) ...

    Text Solution

    |

  9. If x^5y = (x+y)^(n-2) and dy/dx = y/x, then n=..........

    Text Solution

    |

  10. If x= e^2log(e)(sin theta), y= e^2log(e)(cos theta), then dy/dx at ...

    Text Solution

    |

  11. If y= sqrt (log x + sqrt (log x + sqrt (log x + .......oo))), then dy/...

    Text Solution

    |

  12. If y= 5^(2log(5)(sin x)) + 7^(2log(7)(cos x)), then dy/dx= A) 1 B) -...

    Text Solution

    |

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

    Text Solution

    |

  14. If y= sin^(-1) (frac{5x+ 12 sqrt (1-x^2)}{13}), then (dy/dx) = ..........

    Text Solution

    |

  15. If x= a(theta - sin theta), y= a(1- cos theta), then dy/dx=......... A...

    Text Solution

    |

  16. If x= a cos^3 t, y= a sin^3 t, then dy/dx=..... A) -y/x B) -(y/x)^(1...

    Text Solution

    |

  17. If x^py^q = (x+y)^(p+q), then(d^2y)/(dx^2) =..........

    Text Solution

    |

  18. If y= sin^2 (cot^(-1)sqrt (frac {1+x}{1-x})), then frac{dy}{dx}=.........

    Text Solution

    |

  19. If x = e^theta (sin theta - cos theta), y = e^theta (cos theta + sin t...

    Text Solution

    |

  20. The derivative of cos^(-1)(2x^2 -1) w.r.t. cos^(-1) x is ........... A...

    Text Solution

    |