Home
Class 12
MATHS
The function y=f(x) is the solution ...

The function `y=f(x)` is the solution of the differential equation `(dy)/(dx)+(x y)/(x^2-1)=(x^4+2x)/(sqrt(1-x^2))` in `(-1,1)` satisfying `f(0)=0.` Then `int_((sqrt(3))/2)^((sqrt(3))/2)f(x)dx` is

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

  • DIFFERENTIATION

    CENGAGE PUBLICATION|Exercise Archives|14 Videos

Similar Questions

Explore conceptually related problems

The function y=f(x) is the solution of the differential equation (dy)/(dx)+(xy)/(x^(2)-1)=(x^(4)+2x)/(sqrt(1-x^(2))) in (-1, 1) satisfying f(0)=0 . Then underset((-sqrt(3))/(2))overset((sqrt(3))/(2))intf(x)dx is

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

Find the general solution of the differential equation (dy)/(dx) + sqrt((1 - y^(2))/(1 - x^(2))) = 0 .

The solution of differential equation (2y+x y^3)dx+(x+x^2y^2)dy=0 is

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

Solve the following differential equations : dy/dx+sqrt((1-y^2)/(1-x^2))=0

int_(0)^(2)(x^(2)dx)/(sqrt(1+x^(2)))

int_(0)^((1)/(2))(dx)/(sqrt(3-2x))

Integrating Factor (I.F). Of the differential equation: (dy)/(dx) -(3x^(2))/(1+x^(3))y = (sin^(2)x)/(1+x) is:

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

CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
  1. Let y(x) be a solution of the differential equation (1+e^x)y^(prime)+y...

    Text Solution

    |

  2. Let f be a real-valued differentiable function on R (the set of al...

    Text Solution

    |

  3. The function y=f(x) is the solution of the differential equation (...

    Text Solution

    |

  4. The order of the differential equation whose general solution is gi...

    Text Solution

    |

  5. The differential equation representing the family of curves y^2=2c(x+s...

    Text Solution

    |

  6. A curve y=f(x) passes through (1,1) and tangent at P(x , y) cuts t...

    Text Solution

    |

  7. A curve is such that the mid-point of the portion of the tangent inter...

    Text Solution

    |

  8. The equation of a curve passing through (2,7/2) and having gradien...

    Text Solution

    |

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

    Text Solution

    |

  10. A normal at P(x , y) on a curve meets the x-axis at Q and N is t...

    Text Solution

    |

  11. The differential equation of all non-horizontal lines in a plane is

    Text Solution

    |

  12. The curve in the first quadrant for which the normal at any point (...

    Text Solution

    |

  13. The differential equation of the curve for which the initial ordina...

    Text Solution

    |

  14. Orthogonal trajectories of family of the curve x^(2/3)+y^(2/3)=a^((2/3...

    Text Solution

    |

  15. Which of the following is not the differential equation of family of c...

    Text Solution

    |

  16. Tangent to a curve intercepts the y-axis at a point P .A line perpend...

    Text Solution

    |

  17. The solution of the differential equation (xcoty+logcosx)dy+(logsiny-y...

    Text Solution

    |

  18. The curve with the property that the projection of the ordinate on ...

    Text Solution

    |

  19. The differential equation of all parabolas each of which has a latu...

    Text Solution

    |

  20. The solution of differential equation xy.dy/(dx)=(x+2)(y+2) is given b...

    Text Solution

    |