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

Solve the following differential equations
`(x^2 + xy ) dy = ( x^(2) + y^(2) ) dx`

Text Solution

Verified by Experts

The correct Answer is:
`log | x| -2 log | x +y| - (y)/(x) + C =0`
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

Solve the following differential equations 2xy (dy)/( dx) = x^(2) + y^(2)

Solve the following differential equations (x-y)^2 (dy)/( dx) = a^2

Solve the following differential equations (y^(2) - x^(2) ) dy = 3xy dx

BETTER CHOICE PUBLICATION-DIFFERENTIAL EQUATIONS-PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE
  1. Solve the following differential equations (dy)/( dx) = sqrt(4 - y^2...

    Text Solution

    |

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

    Text Solution

    |

  3. Solve the following differential equations (x^2 + xy ) dy = ( x^(2) ...

    Text Solution

    |

  4. Show that the given differential equation is homogeneous and solve it:...

    Text Solution

    |

  5. Find the differential equation from the equation : y=e^x(a cos 2x +b s...

    Text Solution

    |

  6. Solve the following differential equations at its initial values x (...

    Text Solution

    |

  7. Solve the following differential equations at its initial values (1 ...

    Text Solution

    |

  8. Solve the differential equation, (3xy + y^2) dx = (x^2 + xy)dy

    Text Solution

    |

  9. Find the general solution of the following (x^2 + xy ) dy +( 3xy + y...

    Text Solution

    |

  10. Find the general solution of the following x (dy)/( dx) + y = x log ...

    Text Solution

    |

  11. Find the general solution of the following x log x (dy)/( dx) + y = ...

    Text Solution

    |

  12. Form the differential equation of the family of hyperbolas having foci...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. Solve the following differential equations x (dy)/(dx) - y + x sin (...

    Text Solution

    |

  16. Solve : dy/dx + 2y = sin x

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |