Home
Class 12
MATHS
Solve the differential equation: (dy)/(d...

Solve the differential equation: `(dy)/(dx)+y/(2x)=3x^2`

Text Solution

AI Generated Solution

To solve the differential equation \[ \frac{dy}{dx} + \frac{y}{2x} = 3x^2, \] we will follow the steps for solving a first-order linear differential equation. ...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIABILITY

    RD SHARMA|Exercise Solved Examples And Exercises|136 Videos
  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|102 Videos

Similar Questions

Explore conceptually related problems

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

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

Solve the differential equation (dy)/(dx)+(1)/(x)y=xy^(2)

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

Solve the differential equation (dy)/(dx)+(y)/(x)=(y^(2))/(x^(2))

Solve the differential equation (dy)/(dx)=x^2y+y

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

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

Solve the differential equation (dy)/(dx)=e^(2x-y)+x^(2)*e^(-y) .

Solve the differential equation (dy)/(dx) + 2y = x .

RD SHARMA-DIFFERENTIAL EQUATION-Solved Examples And Exercises
  1. Solve: (1+x^2)(dy)/(dx)+2xy-4x^2=0 subject to the initial conditiony(...

    Text Solution

    |

  2. Solve: (dy)/(dx)-2y=cos3x

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. Determine the order and degree of the following differential equation....

    Text Solution

    |

  6. Determine the order and degree of the following differential equation....

    Text Solution

    |

  7. Determine the order and degree of the following differential equation....

    Text Solution

    |

  8. Determine the order and degree of the following differential equation....

    Text Solution

    |

  9. Determine the order and degree of the following differential equation....

    Text Solution

    |

  10. Determine the order and degree of each of the following differentia...

    Text Solution

    |

  11. Determine the order and degree of each of the following differential...

    Text Solution

    |

  12. Determine the order and degree of each of the following differential...

    Text Solution

    |

  13. Determine the order and degree of each of the following differential...

    Text Solution

    |

  14. Determine the order and degree of each of the following differentia...

    Text Solution

    |

  15. Determine the order and degree of each of the following differentia...

    Text Solution

    |

  16. Determine the order and degree of each of the following differentia...

    Text Solution

    |

  17. Determine the order and degree of each of the following differentia...

    Text Solution

    |

  18. Determine the order and degree of each of the following differential...

    Text Solution

    |

  19. Determine the order and degree of each of the following differentia...

    Text Solution

    |

  20. Determine the order and degree of the following differential equatio...

    Text Solution

    |