Home
Class 12
MATHS
The solution of the differential equatio...

The solution of the differential equation
` x^(2) (dy)/(dx)= x^(2) + xy + y^(2) `

A

`tan^(1) ((y)/(x)) = 2log x + C`

B

`tan^(-1) ((y)/(x)) = 3 log x + C`

C

`tan^(-1) ((y)/(x)) = log x + C`

D

`tan^(-) ((y)/(x)) = 4 log x + C`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    BITSAT GUIDE|Exercise BITSAT ARCHIVES|17 Videos
  • DIFFERENTIAL COEFFICIENTS

    BITSAT GUIDE|Exercise BITSAT Archives|17 Videos
  • EXPONENTIAL AND LOGARITHMIC SERIES

    BITSAT GUIDE|Exercise BITSAT Archives|8 Videos

Similar Questions

Explore conceptually related problems

The solution of the differential equation (x+y)^(2)(dy)/(dx) = a^(2) is

The solution of the differential equation (x+2y^(2))(dy)/(dx)=y , is

Solution of the differential equation (x-y)^(2)((dy)/(dx))=a^(2) is

Solution of the differential equation x^(2)(dy)/(dx)-3xy-2y^(2)=0 is

The solution of the differential equation (dy)/(dx)=(xy)/(x^(2)+y^(2)) is

The solution of differential equation (1-xy + x^(2) y^(2))dx = x^(2) dy is

BITSAT GUIDE-DIFFERENTIAL EQUATIONS-BITSAT ARCHIVES
  1. The solution of the differential equation x^(2) (dy)/(dx)= x^(2) + ...

    Text Solution

    |

  2. The form of the differential equation of the central conics ax^(2) + b...

    Text Solution

    |

  3. The solution of the differential equation (x+(x^3)/(3!)+(x^5)/(5!)+)/...

    Text Solution

    |

  4. The solution of the differential equation x=1+x y(dy)/(dx)+(x^2y^2)/(...

    Text Solution

    |

  5. The general solution of the differential equation (dy)/(dx)+sin(x+y)/2...

    Text Solution

    |

  6. By eliminating the arbitrary constant A and B from y = Ax^(2)+Bx we g...

    Text Solution

    |

  7. The order and degree of the differential equation sqrt((dy)/(dx))-4(dy...

    Text Solution

    |

  8. The differential equation of all non-vertical lines in a plane, is

    Text Solution

    |

  9. The solution of dy/dx=(alphax+g)/(by+f) represents a circle, when

    Text Solution

    |

  10. the equation of the curve satisfying the equation (xy - x^(2)) (dy)/(d...

    Text Solution

    |

  11. The solution of the differential equation (dy)/(dx) = (xy + y)/(xy +x)...

    Text Solution

    |

  12. The solution of the differential equation xy^(2) dy - (x^(3) + y^(3)) ...

    Text Solution

    |

  13. The solution of the differential equation (dy)/(dx)-y tan x=e^(x)sec x...

    Text Solution

    |

  14. The solution of differential equation (dy)/(dx) + (2xy)/(1+x^(2)) = (1...

    Text Solution

    |

  15. Which one of the following differential equation represents the system...

    Text Solution

    |

  16. The general solution of the differential equation (2x - y + 1) dx + (...

    Text Solution

    |

  17. The degree of the differential equation y(x) = 1 + (dy)/(dx) + (1)/(1*...

    Text Solution

    |

  18. The solution of x^(2) +y^(2) - 2xy (dy)/(dx) = 0 is

    Text Solution

    |