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

Solve the following differential equations
`(dy)/( dx) = x^2 + sin 3x`

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Text Solution

Verified by Experts

The correct Answer is:
`y= (1)/(3) x^(3) - (1)/(3) cos 3x + C`
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BETTER CHOICE PUBLICATION-DIFFERENTIAL EQUATIONS-ASSIGNMENT (SECTION III)
  1. Solve the following differential equations (dy)/( dx) = x^2 + sin 3...

    01:40

    |

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

    07:06

    |

  3. Solve the following differential equations (1+ x^2 ) (dy)/( dx) - xy...

    10:10

    |

  4. Solve the following differential equations (dy)/( dx) = x^5 + x^2 - ...

    01:05

    |

  5. Find the particular solution of following differential equation (x^(...

    10:27

    |

  6. Find the particular solution of following differential equation cos...

    01:13

    |

  7. Solve the following differential equations (dy)/( dx) = (1+ y^2)/( 1...

    01:29

    |

  8. Solve the following differential equations 3e^(x) tan ydx + (1- e^(x...

    02:51

    |

  9. Solve the following differential equations tan y dx + sec^(2) y tan ...

    03:07

    |

  10. Solve the following differential equations 4e^(x) tan y dx + 3( 1 + ...

    03:15

    |

  11. Solve the differential equation : (1 + e^(2x))dy + (1 + y^2)e^(2x) dx ...

    04:58

    |

  12. Solve the following differential equations log "" (dy)/( dx) = ax + ...

    02:19

    |

  13. Solve the following differential equations x^(2) ( y -1) dx + y^(2) ...

    03:04

    |

  14. Solve the following differential equations (e^(x) + 1) dy + ( y + 1)...

    02:18

    |

  15. Solve the following differential equations ( 1+ x) ( 1+ y^2) dx + (...

    03:54

    |

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

    01:40

    |

  17. Solve the following differential equations ; dy/dx - y/x = 2x^2

    02:37

    |

  18. Find the particular solution of following ( x+ 1) (dy)/( dx) = 2e^(-...

    04:08

    |

  19. Find the particular solution of following (dy)/( dx) = y sin 2x, giv...

    02:09

    |

  20. Find the particular solution of following ( 1+ y^(2) ) ( 1+ logx ) d...

    03:44

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