Home
Class 12
MATHS
If y(x) satisfies the differential equ...

If `y(x)` satisfies the differential equation `y^(prime)-ytanx=2xs e c x` and `y(0)=0` , then
(a) `y(pi/4)= pi^2/(8sqrt(2)`
(b) `y'(pi/4)= pi^2/18`
(c) `y(pi/3)= pi^2/9`
(d) `y'(pi/3)= (4pi)/3 + (2pi^2)/(3sqrt(3)`

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

  • DIFFERENTIATION

    CENGAGE PUBLICATION|Exercise Archives|14 Videos

Similar Questions

Explore conceptually related problems

int_0^pi(xtanx)/(secx+cosx)dx is (pi^2)/4 (b) (pi^2)/2 (c) (3pi^2)/2 (d) (pi^2)/3

The range of f(x)=sin^(-1)(sqrt(x^2+x+1)) i s (a) (0,pi/2) (b) (0,pi/3) (c) [pi/3,pi/2] (d) [pi/6,pi/3]

If f(x) satisfies the relation f((5x-3y)/2)=(5f(x)-3f(y))/2AAx ,y in R , and f(0)=3a n df^(prime)(0)=2, then the period of "sin"(f(x)) is (a) 2pi (b) pi (c) 3pi (d) 4pi

Range of tan^(-1)((2x)/(1+x^2)) is (a) [-pi/4,pi/4] (b) (-pi/2,pi/2) (c) (-pi/2,pi/4) (d) [pi/4,pi/2]

In which of the following intervals the inequality, sinx < cos x < tanx < cot x can hold good ? (a) ((7pi)/4,2pi) (b) ((3pi)/4,pi) (c) ((5pi)/4,(3pi)/2) (d) (0,(pi)/4)

The value of the definite integral int_0^(pi/2)sqrt(tanx)dx is (a) sqrt(2)pi (b) pi/(sqrt(2)) (c) 2sqrt(2)pi (d) pi/(2sqrt(2))

If sin^(-1)x+sin^(-1)y=pi/2 and sin2x=cos2y , then (a) x=pi/8+sqrt(1/2-(pi^2)/(64)) (b) y= sqrt(1/2-(pi^2)/(64))-pi/(12) (c) x=pi/(12)+sqrt(1/2-(pi^2)/(64)) (d) y=sqrt(1/2-(pi^2)/(64))-pi/8

If y="sec"(tan^(-1)x),t h e n(dy)/(dx)a tx=1 is (a) cos(pi/4) (b) sin(pi/2) (c) sin(pi/6) (d) cos(pi/3)

tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y)) is (A) pi/2 (B) pi/3 (C) pi/4 (D) pi/4 or (3pi)/4

Solution of the equation cos^2x(dy)/(dx)-(tan2x)y=cos^4x , where |x|< pi/4 and y(pi/6)=(3sqrt(3))/8 is

CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
  1. Let y^(prime)(x)+y(x)g^(prime)(x)=g(x)g^(prime)(x),y(0) = 0,x in R ,...

    Text Solution

    |

  2. Let f:[1,oo) → [2, ∞) be a differentiable function such that f(1)=2...

    Text Solution

    |

  3. If y(x) satisfies the differential equation y^(prime)-ytanx=2xs e c ...

    Text Solution

    |

  4. Consider the family of all circles whose centers lie on the straight l...

    Text Solution

    |

  5. Let y(x) be a solution of the differential equation (1+e^x)y^(prime)+y...

    Text Solution

    |

  6. Let f be a real-valued differentiable function on R (the set of al...

    Text Solution

    |

  7. The function y=f(x) is the solution of the differential equation (...

    Text Solution

    |

  8. The order of the differential equation whose general solution is gi...

    Text Solution

    |

  9. The differential equation representing the family of curves y^2=2c(x+s...

    Text Solution

    |

  10. A curve y=f(x) passes through (1,1) and tangent at P(x , y) cuts t...

    Text Solution

    |

  11. A curve is such that the mid-point of the portion of the tangent inter...

    Text Solution

    |

  12. The equation of a curve passing through (2,7/2) and having gradien...

    Text Solution

    |

  13. The equation of the curve which is such that the portion of the axi...

    Text Solution

    |

  14. A normal at P(x , y) on a curve meets the x-axis at Q and N is t...

    Text Solution

    |

  15. The differential equation of all non-horizontal lines in a plane is

    Text Solution

    |

  16. The curve in the first quadrant for which the normal at any point (...

    Text Solution

    |

  17. The differential equation of the curve for which the initial ordina...

    Text Solution

    |

  18. Orthogonal trajectories of family of the curve x^(2/3)+y^(2/3)=a^((2/3...

    Text Solution

    |

  19. Which of the following is not the differential equation of family of c...

    Text Solution

    |

  20. Tangent to a curve intercepts the y-axis at a point P .A line perpend...

    Text Solution

    |