Home
Class 12
MATHS
Let f(x) = secx*f'(x), f(0) = 1, then f(...

Let `f(x) = secx*f'(x), f(0) = 1,` then `f(pi/6)` is equal to (i)`1/sqrte` (ii)`sqrte` (iii)`e^(3/2)` (iv) `1/(2sqrte)`

A

`(1)/(sqrt(e))`

B

`sqrt(e)`

C

`e^((3)/(2))`

D

`(1)/(2sqrt(e))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE|Exercise Assignment Section - B (Objective Type Questions (One option is correct))|40 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE|Exercise Assignment Section - C (Objective Type Questions) (Multiple than one options are correct)|17 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE|Exercise Try Yourself|26 Videos

  • DETERMINANTS

    AAKASH INSTITUTE|Exercise SECTION - J|12 Videos

  • INTEGRALS

    AAKASH INSTITUTE|Exercise Try yourself|50 Videos

Similar Questions

Explore conceptually related problems

Let f(x) =intsqrtx/((1+x)^2)dx(xge0) . The f(3) - f(1) is equal to :

If f'(x)=(1)/((1+x^(2))^(3//2)) and f(0)=0, then f(1) is equal to :

Let f(x+(1)/(x))=x^(2)+(1)/(x^(2)),(x ne 0) then f(x) equals

Let f(x)=(sin^(2)pix)/(1+pi^(x)). Then, int[f(x)+f(-x)]dx is equal to

Let f(x)=1+2sin((e^(x))/(e^(x)+1))x>=0 then f^(-1)(x) is equal to (assuming fis bijectve)

Let g(x)=1=x-[x] and f(x)={-1, x < 0 , 0, x=0 and 1, x > 0, then for all x, f(g(x)) is equal to (i) x (ii) 1 (iii) f(x) (iv) g(x)

Let f(x)={[((e^(3x)-1))/(x),,x!=0],[3,,x=0]} then 2f'(0) is

If f(x) = 2 sin^(-1) sqrt(1-x) + sin^(-1)(2 sqrt(x (1-x))) where x in (0, 1/2) , then f'(x) has the value equal to (i) 2/(xsqrt(1-x)) (ii) 0 (iii) -2/(xsqrt(1-x)) (iv) pi

AAKASH INSTITUTE-DIFFERENTIAL EQUATIONS-Assignment (Section - A) Competition Level Questions
  1. The number of solution of dy / dx = (y +1) / (x-1) when y(1) = 2 is

    Text Solution

    |

  2. The differential equation y(dy)/(dx) + x = c represents

    Text Solution

    |

  3. The integrating factor of differential equation dy/dx+y=(1+y)/x is

    Text Solution

    |

  4. The differential equation for the family of curves x^(2)-y^(2)-2ay=0, ...

    Text Solution

    |

  5. The general solution of (dy)/(dx) = 2x e^(x^(2)-y) is

    Text Solution

    |

  6. The curve in which the slope of the tangent at any point equal the rat...

    Text Solution

    |

  7. The solution of the equation (2y-1)dx - (2x + 3)dy = 0 is

    Text Solution

    |

  8. Let f(x) = secx*f'(x), f(0) = 1, then f(pi/6) is equal to (i)1/sqrte ...

    Text Solution

    |

  9. The integrating factor of (1+y^(2)) dx = (tan^(-1)y-x) dy is -

    Text Solution

    |

  10. The order &amp; the degree of the differential equation whose general ...

    Text Solution

    |

  11. The solution of the differential equation dy/dx=cos(x-y) is

    Text Solution

    |

  12. (dy)/(dx) = (xy+y)/(xy+x), then the solution of differential equation ...

    Text Solution

    |

  13. The differential equation ydy+xdx = dx represents

    Text Solution

    |

  14. The integrating factor of cos^(2) x(dy)/(dx) +y = tan x is

    Text Solution

    |

  15. The integrating factor of (dy/dx)+2y = xe^(4x) is

    Text Solution

    |

  16. The integrating solution of differential equation (dy)/(dx) = e^((x^(2...

    Text Solution

    |

  17. Family y = Ax + A^(3) of curves will correspond to a differential equa...

    Text Solution

    |

  18. The solution of differential equation cosx. Sin ydx + sin x. cosydy = ...

    Text Solution

    |

  19. The solution of diferential equation (dy)/(dx) = (1+y^(2))/(1+x^(2)) i...

    Text Solution

    |

  20. The solution of differential equation ydx + (x+xy)dy = 0 is

    Text Solution

    |