Home
Class 12
MATHS
Find the particular solution of the diff...

Find the particular solution of the differential equation `(dy/dx) - 3y cot x = sin 2x, (x ne 0)` given that `y = 0, 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

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (Multiple Choice Questions (Choose the correct option))|7 Videos

  • DETERMINANTS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (PREVIOUS YEAR.S BOARD QUESTIONS FOR PRACTICE )|45 Videos

  • INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE|98 Videos

Similar Questions

Explore conceptually related problems

Find a particular solution of the differential equation (dy)/(dx) + y cotx = 4x cosecx (x ne 0) given that y = 0 when x = pi/2

Find the particular solution of the differential equation dy/dx -y/x + cosec(y/x) = 0, (x ne 0) , given that y = 0, x =1 .

Find the particular solution of the differential equation dy/dx -y/x + sec(y/x) = 0, (x ne 0) , given that y = 0, x =1 .

Find the particular solution of the differential equation dy/dx -y/x + tan(y/x) = 0, (x ne 0) , given that y = 0, x =1 .

Find the particular solution of the differential equation (dy/dx) + y tan x = sin 2x given that y = 1, x = pi .

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

Find the particular solution of the differential equation cos x (dy/dx) + y sin x = 4x cos^2 x, (x ne pi/2) given that y = 3, x = 0

Find the particular solution of the differential equation : sin x dy/dx+y cos x =4x,(x ne 0) , given that y=0,x=pi/2 .

Find the particular solution of the differential equation cot x (dy/dx) = y, y = 1 when x = 0 .

Find the particular solution of the differential equation dy/(dx)+ycotx=4xcosecx , (x#0) , given that y=0 when x=π/2 .

BETTER CHOICE PUBLICATION-DIFFERENTIAL EQUATIONS-PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE
  1. Solve : dy/dx + 2y = sin x

    Text Solution

    |

  2. Solve the differential equation : x^2 (y + 1) dx + y^2 (x - 1) dy = 0

    Text Solution

    |

  3. Solve the following differential equations (x^(2) y + x^(2) ) dx + (...

    Text Solution

    |

  4. Solve the following differential equations x cos (y/x) (dy)/( dx) = ...

    Text Solution

    |

  5. Solve the following differential equations y dx + x (log ""(y)/( x))...

    Text Solution

    |

  6. Find the particular solution of the differential equation ; log (dy/dx...

    Text Solution

    |

  7. Solve the following differential equation dy/dx = x^5 + x^2 - 2/x

    Text Solution

    |

  8. Find the general solution of the Differential Equation : 2xy dx + (x^2...

    Text Solution

    |

  9. Solve the differential equation (x^2 - y^2) dx + 2 xy dy = 0.

    Text Solution

    |

  10. Solve the following differential equations (y^(2) - 2xy) dx = (x^(2)...

    Text Solution

    |

  11. Solve the differential equation : xdy/dx-y=2x^3.

    Text Solution

    |

  12. Solve the following differential equations (dy)/( dx) - y = cos x, g...

    Text Solution

    |

  13. Solve the differential equation xdy - ydx = sqrt(x^2+y^2)dx

    Text Solution

    |

  14. Find the particular solution of the differential equation (dy/dx) - 3y...

    Text Solution

    |

  15. Solve cot^(-1) (dy/dx) = x+y

    Text Solution

    |

  16. Solve the differential equation (x^(2) + y^(2) ) dx = 2xydy

    Text Solution

    |

  17. Solve the differential equation : x sec^2(y/x)dy={y sec^2(y/x)+x}dx.

    Text Solution

    |

  18. Solve the differential equation : xdy/dx+3y=(logx)/x^3.

    Text Solution

    |

  19. Form the differential equation of the family of circles touching the y...

    Text Solution

    |

  20. Solve the differential equation : x (dy/dx) + 2y = x^2 log x

    Text Solution

    |