Home
Class 12
MATHS
If (2 + sin x)(dy)/dx+ (y + 1)cos x = 0 ...

If `(2 + sin x)(dy)/dx+ (y + 1)cos x = 0` and ` y(0)=1`, then ` y(pi/2)` is equal to :

A

`- 1/3`

B

`4/3`

C

`1/3`

D

`- 2/3`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (9)|12 Videos
  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise CHECK YOUR UNDERSTANDING|10 Videos
  • DETERMINANTS

    MODERN PUBLICATION|Exercise Chapter test 4|12 Videos
  • INTEGRALS

    MODERN PUBLICATION|Exercise COMPETITION FILE|24 Videos

Similar Questions

Explore conceptually related problems

If (2+sinx)(dy)/(dx)+(y+1)cosx=0 and y(0)=1 , then y((pi)/(2)) is equal to

If (2+sinx)(dy)/(dx)+(y+1)cosx=0andy(0)=1, then y((pi)/(2)) is equal to

If (dy)/(dx)+y tan x=sin2x and y(0)=1, then y(pi) is equal to:

If y= y(x), y in [0, (pi)/(2)) is the solution of the differential equation sec y (dy)/(dx)- sin (x+y) - sin (x-y)= 0 , with y(0)= 0, then 5y'((pi)/(2)) is equal to _____

If y=y(x) and (2+sin x)/(y+1)((dy)/(dx))=-cos x,y(0)=1, then y((pi)/(2)) equals

MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-COMPETITION FILE
  1. The differential equation of the family of circles with fixed radius 5...

    Text Solution

    |

  2. Solution of the differential equation (dy)/(dx)=(x+y)/(x), satisfy...

    Text Solution

    |

  3. The differential equaiotn which represents the family of curves y=C(1)...

    Text Solution

    |

  4. The solution of differential equation cos x dy = y (sin x - y ) dx,...

    Text Solution

    |

  5. If (dy)/(dx)=y+3 and y(0)=2, then y(ln 2) is equal to

    Text Solution

    |

  6. Let I be the purchase value of an equipment and V(t) be the value afte...

    Text Solution

    |

  7. Consider the differential equation y^2dx+(x-1/y)dy=0 if y(1)=1 then x ...

    Text Solution

    |

  8. The curve that passes through the point (2, 3) and has the property ...

    Text Solution

    |

  9. The population p(t) at a time t of a certain mouse species satisfies t...

    Text Solution

    |

  10. At present, a firm is manufacturing 2000 items. It is estimated tha...

    Text Solution

    |

  11. Let the population of rabbits surviving at a time t be governed by ...

    Text Solution

    |

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

    Text Solution

    |

  13. Let y(x) be the solution of the differential equation . (x log x) (dy)...

    Text Solution

    |

  14. If the curve y=f(x) passes through the point (1, -1) and satisfies the...

    Text Solution

    |

  15. If (2 + sin x)(dy)/dx+ (y + 1)cos x = 0 and y(0)=1, then y(pi/2) is...

    Text Solution

    |

  16. Let y=g(x) be the solution of the differential equation sin (dy)/(dx...

    Text Solution

    |

  17. let y(x) satisfying the differential equation x(dy)/(dx)+2y=x^(2) give...

    Text Solution

    |