Home
Class 12
MATHS
(dy)/(dx) = 3y cot x = sin 2x, y = 2 whe...

`(dy)/(dx) = 3y cot x = sin 2x, y = 2` when `x = (pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
`y = 4 sin^(3)x - 2sin^(2)x`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NCERT TAMIL|Exercise MISCELLANEOUS EXERCISE|18 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT TAMIL|Exercise EXERCISE - 9.5|17 Videos

  • DETERMINANTS

    NCERT TAMIL|Exercise Miscellaneous Exercises on Chapter 4|19 Videos

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    NCERT TAMIL|Exercise EXERCISE 8.8|15 Videos

Similar Questions

Explore conceptually related problems

(dy)/(dx) + 2y tan x = sin x

For each of the differential equations given in find a particular solution satisfying the given condition : (dy)/(dx)-3ycotx=sin2x,y=2 when x=(pi)/(2).

(dy)/(dx) + 3y = e^(-2x)

x(dy)/(dx) - y + x sin ((y)/(x)) = 0

Find (dy)/(dx) if y =e^(x) sin 2x

Find the particular solution of the differential equation (dy)/(dx) + y cot x = 2x + x^(2) cot x( x ne 0) given that y = 0 when x = (pi)/(2) .

Find (dy)/(dx) if sin y = y cos 2x

x^(2)dy+(xy + y^(2))dx = 0, y = 1 when x = 1

[x sin^(2)((y)/(x)) - y] dx + x dy = 0, y = (pi)/(4) when x = 1

The solution of (dy)/(dx)+y cot x =sin2x is

NCERT TAMIL-DIFFERENTIAL EQUATIONS-EXERCISE - 9.6
  1. Find the general solution : .(dy)/(dx) + 2y = sin x

    Text Solution

    |

  2. (dy)/(dx) + 3y = e^(-2x)

    Text Solution

    |

  3. solve each of the differential equations given in (dy)/(dx)+(y)/(x)=...

    Text Solution

    |

  4. For each of the differential equations given in (dy)/(dx)+secx.y=tan...

    Text Solution

    |

  5. cos^(2)x(dy)/(dx) + y = tan x (o le x le (pi)/(2))

    Text Solution

    |

  6. For each of the differential equations given in x(dy)/(dx)+2y=x^(2)l...

    Text Solution

    |

  7. x log x(dy)/(dx) + y = (2)/(x)log x

    Text Solution

    |

  8. (1 + x^(2))dy + 2xy dx = cot x dx (x ne 0)

    Text Solution

    |

  9. Find a particular solution of the differential equation (dy)/(dx) + y...

    Text Solution

    |

  10. For each of the differential equations given in (x+y)(dy)/(dx)=1

    Text Solution

    |

  11. y dx + (x - y^(2))dy = 0

    Text Solution

    |

  12. (x + 3y^(2))(dy)/(dx) = y ( y rt 0).

    Text Solution

    |

  13. For each of the differential equations given in find a particular solu...

    Text Solution

    |

  14. For each of the differential equations given in find a particular solu...

    Text Solution

    |

  15. (dy)/(dx) = 3y cot x = sin 2x, y = 2 when x = (pi)/(2)

    Text Solution

    |

  16. Find the equation of a curve passing through the origin, given that th...

    Text Solution

    |

  17. Find the equation of a curve passing through the point (0,2), given th...

    Text Solution

    |

  18. The integrating factor of the fifferential equation x(dy)/(dx)-y=2x^(2...

    Text Solution

    |

  19. The integrating factor of the fifferential equation (1-y^(2))(dy)/(dx)...

    Text Solution

    |