Home
Class 12
MATHS
Which of the following differential equa...

Which of the following differential equations has `y= x` as one of its particular solution?

A

`((d^2y)/(dx^2)) - x^2((dy)/dx) + xy = x`

B

`((d^2y)/(dx^2)) + x((dy)/dx) + xy = x`

C

`((d^2y)/(dx^2)) - x^2((dy)/dx) + xy = 0`

D

`((d^2y)/(dx^2)) + x((dy)/dx) + xy = 0`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Which of the following differential equations has y=c_1e^x+c_2e^-x as the general solution ?

Which of the following differential equations has y = c_1e^x + c_2e^(-x) as the general solution?

Find the particular solution of the following differential equations, satisfying the given condition (x^(2) + y^(2) ) dx = 2 xy dy , y = 0 when x =1

PSEB-DIFFERENTIAL EQUATIONS-Exercise
  1. Form the differential equation of the family of circles having centre ...

    Text Solution

    |

  2. Which of the following differential equations has y = c1e^x + c2e^(-x)...

    Text Solution

    |

  3. Which of the following differential equations has y= x as one of its p...

    Text Solution

    |

  4. For the differential equation, find the general solution: (dy)/dx = (1...

    Text Solution

    |

  5. For the differential equation, find the general solution: (dy)/dx = sq...

    Text Solution

    |

  6. For the differential equation, find the general solution: (dy)/dx + y ...

    Text Solution

    |

  7. For the differential equation, find the general solution: sec^2x tany ...

    Text Solution

    |

  8. For the differential equation, find the general solution:(e^x + e^(-x)...

    Text Solution

    |

  9. For the differential equation, find the general solution: (dy)/(dx) = ...

    Text Solution

    |

  10. For the differential equation, find the general solution: y logy dx - ...

    Text Solution

    |

  11. For the differential equation, find the general solution: x^5 (dy)/(dx...

    Text Solution

    |

  12. For the differential equation, find the general solution: (dy)/(dx) = ...

    Text Solution

    |

  13. For the differential equation, find the general solution:e^x tany dx +...

    Text Solution

    |

  14. For the differential equation, find a particular solution satisfying t...

    Text Solution

    |

  15. For the differential equation, find a particular solution satisfying t...

    Text Solution

    |

  16. For the differential equation, find a particular solution satisfying t...

    Text Solution

    |

  17. For the differential equation, find a particular solution satisfying t...

    Text Solution

    |

  18. Find the equation of a curve passing through the point (0, 0) and whos...

    Text Solution

    |

  19. For the differential equation xy (dy)/(dx) = (x+2)(y+2), find the solu...

    Text Solution

    |

  20. Find the equation of a curve passing through the point (0, –2) given t...

    Text Solution

    |