Home
Class 12
MATHS
The solution of ((dy)/(dx))^(2) + (2x + ...

The solution of `((dy)/(dx))^(2) + (2x + y) (dy)/(dx) + 2xy = 0`, is

A

`(y+x^(2)-c_(1))(x+logy+y^(2)+c_(2))=0`

B

`(y+x^(2)-c_(1))(x-logy-c_(2))=0`

C

`(y+x^(2)-c_(1))(x+logy-c_(2))=0`

D

None of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Solved Examples|1 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Subjective Type Question|1 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

Similar Questions

Explore conceptually related problems

Find the solution of (dy)/(dx)=2^(y-x)

The solution of y^2=2y(dy)/(dx)-((dy)/(dx))^(2), is

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

If (x^(2)+y^(2))^(2)=xy find (dy)/(dx)

Solve y-x(dy)/(dx)=a(y^(2)+(dy)/(dx))

ARIHANT MATHS-DIFFERENTIAL EQUATION -Exercise (Questions Asked In Previous 13 Years Exam)
  1. The solution of ((dy)/(dx))^(2) + (2x + y) (dy)/(dx) + 2xy = 0, is

    Text Solution

    |

  2. If f:R-{-1}toR and f is differentiable function satisfies: f((x)+f(y...

    Text Solution

    |

  3. A solution curve of the differential equation (x^2+xy+4x+2y+4)((dy)/(d...

    Text Solution

    |

  4. Let f:(0,oo)rarrR be a differentiable function such that f'(x)=2-(f(...

    Text Solution

    |

  5. Let y(x) be a solution of the differential equation (1+e^(x))y^(')+ye^...

    Text Solution

    |

  6. Let y(x) be a solution of the differential equation (1+e^(x))y'+ye^(x)...

    Text Solution

    |

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

    Text Solution

    |

  8. Let f:[1/2,1]->R (the set of all real numbers) be a positive, non-cons...

    Text Solution

    |

  9. A curve passes through the point (1,(pi)/(6)). Let the slope of the cu...

    Text Solution

    |

  10. Let f:[0,1]rarrR (the set of all real numbers) be a function. Suppose ...

    Text Solution

    |

  11. Let f:[0,1]rarrR be a function. Suppose the function f is twice differ...

    Text Solution

    |

  12. Let f:[0,1]rarrR (the set of all real numbers) be a function. Suppose ...

    Text Solution

    |

  13. Consider the statements : P : There exists some x IR such that f(x)...

    Text Solution

    |

  14. Differentiate the following w.r.t x (log x)^(cos x)

    Text Solution

    |

  15. Let y^(prime)(x)+y(x)g^(prime)(x)=g(x)g^(prime)(x),y(0),x in R , wher...

    Text Solution

    |

  16. Let f: R to R be a continuous function which satisfies f(x)= int0^xf(...

    Text Solution

    |

  17. Let a solution y=y(x) of the differential equation xsqrt(x^(2)-1) dy-...

    Text Solution

    |

  18. If a curve y=f(x) passes through the point (1,-1) and satisfies the di...

    Text Solution

    |

  19. Let y(x) be the solution of the differential equation (xlogx)(dy)/(dx)...

    Text Solution

    |

  20. Let the population of rabbits surviving at a time t be governed by t...

    Text Solution

    |

  21. At present, a firm is manufacturing 2000 items. It is estimated tha...

    Text Solution

    |