Home
Class 12
MATHS
Find the solution of the differential eq...

Find the solution of the differential equation.
`(x-y-2)dx+(x-2y-3)dy=0`

Text Solution

Verified by Experts

The correct Answer is:
`"log"(x-1)+C=(-1)/(2)"log"{2((y+1)/(x-1))^(2)-1}+1/(2sqrt(2))"log"((sqrt(2y)-x+sqrt(2)+1)/(sqrt(2y)+x+sqrt(2)-1))`
Promotional Banner

Topper's Solved these Questions

  • VERY SIMILAR TEST 7

    ARIHANT PRAKASHAN|Exercise Section C (30 MARKS)|32 Videos

  • VERY SIMILAR TEST 7

    ARIHANT PRAKASHAN|Exercise Section C (30 MARKS)|32 Videos

  • VERY SIMILAR TEST 6

    ARIHANT PRAKASHAN|Exercise SECTION C ANSWER ANY ONE QUESTIONS|11 Videos

  • VERY SIMILAR TEST 8

    ARIHANT PRAKASHAN|Exercise Section C|25 Videos

Similar Questions

Explore conceptually related problems

Find the solution of the following differential equations: (x+y)dy+(x-y)dx=0

ARIHANT PRAKASHAN-VERY SIMILAR TEST 7-Section B (60 MARKS)
  1. Differentiate "log"(10)x+"log"(x)10+"log"(x)x+"log"(10)10.

    Text Solution

    |

  2. Verify the LMVT for the function f(x)=(1)/(4x-1),1lexle4.

    Text Solution

    |

  3. Find the solution of the differential equation. (x-y-2)dx+(x-2y-3)dy...

    Text Solution

    |

  4. Find the differential equation by eleminating the orbitary constants i...

    Text Solution

    |

  5. Evaluate the following integrals : int(e^(6logx)-e^(5logx))/(e^(4log...

    Text Solution

    |

  6. Prove that int(-1)^(1)log((2-x)/(2+x))dx=0

    Text Solution

    |

  7. Find the area enclosed bt the two paraboles y^2=4 ax and x^2=4ay.

    Text Solution

    |

  8. By computing shortest distance, determine whether the following pair o...

    Text Solution

    |

  9. Find the equation of the plane Paralel to the plane 2x-y+3z+1=0 and at...

    Text Solution

    |

  10. If vec(a), vec(b) and vec(c) are three mutually perpendicular vectors...

    Text Solution

    |

  11. If vec(a),vec(b)" and "vec(c) are three vectors, such that vec(a)+vec(...

    Text Solution

    |

  12. If hat(a), hat(b), hat(c) are unit vectors and hat(a) xx (hat(b) xx ha...

    Text Solution

    |

  13. Evaluate "tan"("sin"^(-1)3/(5)+"cot"^(-1)3/(2)).

    Text Solution

    |

  14. One kind of cake requires 200 g of flour and 25 g of fat and another k...

    Text Solution

    |

  15. Let * be a binary operation on Q defined by a**b=ab+1. Determine wheth...

    Text Solution

    |

  16. Let A = R-{2} and B = R - {1}. If f : A rarr B is a function defined b...

    Text Solution

    |

  17. Prove that following cot^(-1)((xy+1)/(x-y)) +cot^(-1)((yz+1)/(y-z))+...

    Text Solution

    |

  18. There are 25 tickets bearing numbers from 1 to 25. One ticket is drawn...

    Text Solution

    |

  19. IF A=[(1,tanx),(-tanx,1):}] then show that A^TA^-1=[(cos2x,-sin2x),(s...

    Text Solution

    |

  20. Show that the following systems of linear equations is consistent and ...

    Text Solution

    |