Home
Class 12
MATHS
Solve the following differential equatio...

Solve the following differential equations
`(dy)/(dx)-2y= cos 3x`.

Text Solution

Verified by Experts

The correct Answer is:
`y=3/13 sin 3x - 2/13 cos 3x + ce^(2x)`.
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE 9 (i) Long Answer Type Questions (II)|7 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE 9 (j) Long Answer Type Questions (I)|11 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE 9 (i) Short Answer Type Questions|12 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Chapter test 4|12 Videos

  • INTEGRALS

    MODERN PUBLICATION|Exercise COMPETITION FILE|24 Videos

Similar Questions

Explore conceptually related problems

Solve the following differential equations : (dy)/(dx)+y= cos x

Solve the following differential equation: (dy)/(dx)+2y=4x

Solve the following differential equations : (dy)/(dx)+2y=3 .

Solve the following differential equation: x(dy)/(dx)+2y=x cos x

Solve the following differential equation: x(dy)/(dx)-y=x^2

Solve the following differential equations: x(dy)/(dx)=x+y

Solve the following differential equation: (dy)/(dx)+y=cos x

Solve the following differential equations : (dy)/(dx)+3y=2x .

Solve the following differential equations : x (dy)/(dx)=y-x

Solve the following differential equation (dy)/(dx) = cos ( x +y)

MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE 9 (i) Long Answer Type Questions (I)
  1. (dy)/(dx) - y = sinx

    Text Solution

    |

  2. Solve the following differential equations : (dy)/(dx)=y-2 sin x.

    Text Solution

    |

  3. Solve the following differential equations (dy)/(dx)-2y= cos 3x.

    Text Solution

    |

  4. Solve the following differential equations : (dy)/(dx)+sec x.y=tanx...

    Text Solution

    |

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

    Text Solution

    |

  6. Solve the following differential equations : tan x (dy)/(dx)+2y= co...

    Text Solution

    |

  7. Solve the following differential equations : cos x (dy)/(dx)+y= sin...

    Text Solution

    |

  8. (y+3x^2)(d x)/(d y)=x

    Text Solution

    |

  9. The solution of differential equation (1+x^(2)) (dy)/(dx) + y = e^(...

    Text Solution

    |

  10. Solve the following differential equation: (dy)/(dx)+y=cosx-sinx

    Text Solution

    |

  11. Solve the following differential equations : (dy)/(dx)+y= sin x + c...

    Text Solution

    |

  12. अवकल समीकरण को हल कीजिए- (dy)/(dx)+y tan x=2 x +x^(2)tan x

    Text Solution

    |

  13. Solve the differential equation: (dy)/(dx)+ycotx=2cosx

    Text Solution

    |

  14. Solve the following differential equation: x(dy)/(dx)+2y=xcosx

    Text Solution

    |

  15. Solve the following differential equations (dy)/(dx)+(1)/(x)y = cos ...

    Text Solution

    |

  16. (dy)/(dx)+ysecx=tanx

    Text Solution

    |

  17. x (dy)/(dx) + y = x logx

    Text Solution

    |

  18. Solve the differential equation x\ dy/dx - y = log |x|, given that y(1...

    Text Solution

    |

  19. Solve the differential equation : x(dy)/(dx)+y-x+xycotx=0, x ne 0.

    Text Solution

    |

  20. Solver the following differential equation : (1) x(dy)/(dx) + 2y =x^...

    Text Solution

    |