Home
Class 12
MATHS
x(x^(2) - 1)(dy)/(dx) = 1, y = 0 when x ...

`x(x^(2) - 1)(dy)/(dx) = 1, y = 0` when x = 2.

Text Solution

Verified by Experts

The correct Answer is:
`y = 1/(2) log (x^(2) - 1)/(x^(2)) -(1)/(2) log(3)/(4)`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NCERT TAMIL|Exercise EXERCISE - 9.5|17 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT TAMIL|Exercise EXERCISE - 9.6|19 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT TAMIL|Exercise EXERCISE - 9.3|12 Videos

  • DETERMINANTS

    NCERT TAMIL|Exercise Miscellaneous Exercises on Chapter 4|19 Videos

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    NCERT TAMIL|Exercise EXERCISE 8.8|15 Videos

Similar Questions

Explore conceptually related problems

(dy)/(dx) = y tan x, y = 1 when x = 0

(1+x^(2))(dy)/(dx) = 1-y

For the differential equations, find a particular solution satisfying given condition; (x^(3) + x^(2) + x+ 1)(dy)/(dx) = 2x^(2) + x, y = 1 when x = 0.

x^(2)dy+(xy + y^(2))dx = 0, y = 1 when x = 1

cos ((dy)/(dx)) = a (a ne R), y = 2 when x = 0

If y= (cos^(-1) x)^2 , prove that (1-x^2) (d^2y)/(dx^2) - x(dy)/(dx) -2 =0 , Hence find y_2 when x=0 .

For each of the differential equations given in find a particular solution satisfying the given condition : (1+x^(2))(dy)/(dx)+2xy=(1)/(1+x^(2)), y=0 when x=1

If y = ( cos^(-1) x)^2 , prove that (1-x^2) (d^2 y)/(dx^2) - x(dy)/(dx) - 2=0 . Hence find y_2 when x=0 .

(dy)/(dx)+(3y)/(x)=(1)/(x^(2)) , given that y = 2 when x = 1.

NCERT TAMIL-DIFFERENTIAL EQUATIONS-EXERCISE - 9.4
  1. The solution of sec^(2)x tany dx+sec^(2)y tanx dy=0 is

    Text Solution

    |

  2. For each of the differential equations in (e^(x)+e^(-x))dy-(e^(x)-e^...

    Text Solution

    |

  3. (dy)/(dx) = (1 + x^(2))(1 + y^(2))

    Text Solution

    |

  4. Differential equation y log y dx - x dy = 0

    Text Solution

    |

  5. Differential equation x^(5)(dy)/(dx) = - y^(5)

    Text Solution

    |

  6. (dy)/(dx) = sin^(-1)x

    Text Solution

    |

  7. e^(x) tan y dx + (1 - e^(x))sec^(2)y dy = 0

    Text Solution

    |

  8. For the differential equations, find a particular solution satisfying ...

    Text Solution

    |

  9. x(x^(2) - 1)(dy)/(dx) = 1, y = 0 when x = 2.

    Text Solution

    |

  10. cos ((dy)/(dx)) = a (a ne R), y = 2 when x = 0

    Text Solution

    |

  11. (dy)/(dx) = y tan x, y = 1 when x = 0

    Text Solution

    |

  12. Find the equation of a curve passing through the point (0,0) and whose...

    Text Solution

    |

  13. For the differential equation xy(dy)/(dx) = (x + 2)( y + 2), find the ...

    Text Solution

    |

  14. Find the equation of a curve passing through the point (0,-2). Given t...

    Text Solution

    |

  15. At any point (x,y) of a curve, the slope of the tangent is twice the s...

    Text Solution

    |

  16. The volume of spherical balloon being inflated changes at a constant r...

    Text Solution

    |

  17. In a bank, principal increases continuously at the rate of r% per year...

    Text Solution

    |

  18. In a bank, principal increases continuously at the rate of 5% per year...

    Text Solution

    |

  19. In a culture, the bacteria count is 1,00,000. The number is increased ...

    Text Solution

    |

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

    Text Solution

    |