Home
Class 12
MATHS
If a curve y=f(x) passes through the poi...

If a curve `y=f(x)` passes through the point `(1,-1)` and satisfies the differential equation `,y(1+x y)dx""=x""dy` , then `f(-1/2)` is equal to:

A

`-(2)/(5)`

B

`-(4)/(5)`

C

`(2)/(5)`

D

`(4)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Differential Equations Exerise 7 :|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

Solve the differential equations: (dy)/(dx)=(4x+y+1)^2

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

Find the equation of a curve passing through the origin and satisfying the differential equation (1+x^2)(dy)/(dx)+2xy=4x^2

The graph of the function y=f(x) passing through the point (0,1) and satisfying the differential equation (dy)/(dx)+ycosx=cosx is such that

Solve the differential equations: x^2dy+(xy+y^2)dx=0, y(1)=1

Solve the differential equations: (3x+2y+1)dx+(6x+4y+5)dy=0

Solve the differential equations: x^2(dy)/(dx)=y^2+2xy,y(1)=1

Solve the differential equation x(x^2 - 1) dy dx = 1 , y=0 when x=2

Consider the differential equation y^2dx+(x-1/y)dy=0 . If y(1)=1, then x is given by:

ARIHANT MATHS-DIFFERENTIAL EQUATION -Exercise (Questions Asked In Previous 13 Years Exam)
  1. Let f:[1/2,1]->R (the set of all real numbers) be a positive, non-cons...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. The population p(t) at time t of a certain mouse species satisfies the...

    Text Solution

    |

  16. If (dy)/(dx)=y+3 and y(0)=2, then y(log2) is equal to

    Text Solution

    |

  17. Let I be the purchase value of an equipment and V(t) be the value afte...

    Text Solution

    |

  18. Solution of the differential equation cosxdy=y(sinx-y)dx, 0ltxlt(pi)...

    Text Solution

    |

  19. The differential equation which represents the family of curves y=c(1)...

    Text Solution

    |

  20. The differential equation of the family of circles with fixed radius ...

    Text Solution

    |