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

The solution of the differential equation `y_(1)y_(3)=3y_(2)^(2)`, is

A

`x=A_(1)y^(2)+A_(2)y+A_(3)`

B

`x=A_(1)y+A_(2)`

C

`x=A_(1)y^(2)+A_(2)y`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • DIFFERENTIAL EQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|5 Videos

  • DERIVATIVE AS A RATE MEASURER

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|26 Videos

  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|17 Videos

Similar Questions

Explore conceptually related problems

The solution of the differential equation y_1y_3=y_2^2 is

The solution of the differential equation y^(')y^(''')=3(y^(''))^(2) is

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

Let y_(1) and y_(2) be the two solutions of the differential equation (dy)/(dx)+Py=Q , where P and Q are functions of x, Statement-1: The linear combination ay_(1)+by_(2) will be a solution of the differential equation, if a+b=1 . Statement-2 : The general solution of the differential equation is y=y_(1)+C(y_(1)-y_(2)) .

Solution of the differential equation dy/dx=(y^3)/(e^(2x)+y^2) , is

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

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

Interval contained in the domain of definition of non-zero solution of the differential equation (x-3)^(2)y'+y=0 is:

OBJECTIVE RD SHARMA ENGLISH-DIFFERENTIAL EQUATIONS-Exercise
  1. Write the order of the differential equation associated with the pr...

    Text Solution

    |

  2. Obtain the differential equation of the family of circles passing thro...

    Text Solution

    |

  3. The solution of the differential equation y(1)y(3)=3y(2)^(2), is

    Text Solution

    |

  4. The degree and order of the differential equation of all parabolas who...

    Text Solution

    |

  5. The differential equation of all parabolas whose axis are parallel t...

    Text Solution

    |

  6. The equation of the curve which is such that the portion of the axi...

    Text Solution

    |

  7. The solution of (dy)/(dx)=(a x+h)/(b y+k) represent a parabola when

    Text Solution

    |

  8. The solution of the differential equation y(dy)/(dx)=x-1 satisfying y(...

    Text Solution

    |

  9. The differential equation of the family of circles of fixed radius r a...

    Text Solution

    |

  10. The solution of (dv)/(dt)+k/m v=-g is

    Text Solution

    |

  11. ydx-xdy+3x^(2)y^(2)e^(x^(3))dx=0

    Text Solution

    |

  12. The curve for which the length of the normal is equal to the length ...

    Text Solution

    |

  13. The family of curves represented by (dy)/(dx) = (x^(2)+x+1)/(y^(2)+y+1...

    Text Solution

    |

  14. The form of the differential equation of the central conics, is

    Text Solution

    |

  15. The solution of the differential eqaution (x^(2)-yx^(2))(dy)/(dx)+y^...

    Text Solution

    |

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

    Text Solution

    |

  17. The equation of the curve through the point (1,0) which satisfies the ...

    Text Solution

    |

  18. The differential equation of family of curves x^(2)+y^(2)-2ax=0, is

    Text Solution

    |

  19. The solution of the differential equation (dy)/(dx)-(tany)/(x)=(tany...

    Text Solution

    |

  20. The solution of (dy)/(dx)+2y tanx=sinx, is

    Text Solution

    |