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

The solution of the differential equation `x\ dx+y\ dy=x^2y\ dy-y^2x\ dx ,\ ` is a. `x^2-1=C(1+y^2)` b. `x^2+1=C(1-y^2)` c. `x^3-1=C(1+y^3)` d. `x^3+1=C(1-y^3)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIABILITY

    RD SHARMA ENGLISH|Exercise All Questions|135 Videos

  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA ENGLISH|Exercise All Questions|107 Videos

Similar Questions

Explore conceptually related problems

The solution of the differential equation log(dy/dx)=4x-2y-2,y=1 ,where x=1 is

The solution of the differential equation x(x^2+1)((dy)/(dx))=y(1-x^2)+x^3logx is

The general solution of the differential equation (2x-y+1)dx+(2y-x+1)dy=0 is -

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

The solution of the differential equation x(dy)/(dx) + 2y = x^2 (X ne 0) with y(1) =1, is :

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

The solution of the differential equation {1/x-y^(2)/(x-y)^(2)}dx+{x^(2)/(x-y)^(2)-1/y}dy=0 is

Verify that y=-x-1 is a solution of the differential equation (y-x)dy-(y^2-x^2)dx=0.

Solve the differential equation: (1+y+x^2y)dx+(x+x^3)dy=0

The general solution of the differential equation (y dx-x dy)/y=0 is(A) x y = C (B) x=C y^2 (C) y = C x (D) y=C x^2

RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. The solution of x^2+y^2(dy)/(dx)=4 is a. x^2+y^2=12 x+C b. x^2+y^2=3...

    Text Solution

    |

  2. The family of curves in which the sub tangent at any point of a curve ...

    Text Solution

    |

  3. The solution of the differential equation x\ dx+y\ dy=x^2y\ dy-y^2x\ d...

    Text Solution

    |

  4. The solution of the differential equation (x^2+1)(dy)/(dx)+(y^2+1)=0 i...

    Text Solution

    |

  5. The differential equation x(dy)/(dx)-y=x^2, has the general solution ...

    Text Solution

    |

  6. The solution of the differential equation dy/dx-ky=0, y(0)=1, approach...

    Text Solution

    |

  7. The solution of the differential equation (1+x^2)(dy)/(dx)+1+y^2=0, is...

    Text Solution

    |

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

    Text Solution

    |

  9. The differential equation (dy)/(dx)+P y=Q y^n ,\ n >2 can be reduced t...

    Text Solution

    |

  10. If p \ "and" \ q are the order and degree of the differential equation...

    Text Solution

    |

  11. find the solution of the following differential equation x logx (dy)/...

    Text Solution

    |

  12. Solve: dy / dx + y secx = tanx

    Text Solution

    |

  13. Integrating factor of differential equation cosx(dy)/(dx)+ysinx=1 is

    Text Solution

    |

  14. The degree of the differential equation ((d^2y)/(dx^2))^3+((dy)/(dx)...

    Text Solution

    |

  15. The order of the differential equation 2x^2(d^2y)/(dx^2)-3(dy)/(dx)+y=...

    Text Solution

    |

  16. The number of arbitrary constants in the particular solution of a di...

    Text Solution

    |

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

    Text Solution

    |

  18. Which of the following differential equations has y = x as one of it...

    Text Solution

    |

  19. The general solution of the differential equation (dy)/(dx)=e^(x+y) ...

    Text Solution

    |

  20. A homogeneous differential equation of the from (dx)/(dy)=h(x/y) can...

    Text Solution

    |