Home
Class 12
MATHS
The differential equations, find a part...

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

Text Solution

Verified by Experts

Given , `(x^3+x^2+x+1)(dy)/(dx)=2x^2+x`
`=> (x^2 (x+1) +(x+1)) (dy)/(dx) = x(2x+1)`
`(x^2 +1)(x+1) (dy)/(dx) = x(2x+1)`
`dy = (2x^2+x) / ((x^2+1)(x+1)) dx`
...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NCERT|Exercise SOLVED EXAMPLES|28 Videos
  • DIFFERENTIAL EQUATIONS

    NCERT|Exercise EXERCISE 9.3|12 Videos
  • DIFFERENTIAL EQUATIONS

    NCERT|Exercise EXERCISE 9.6|19 Videos
  • DETERMINANTS

    NCERT|Exercise EXERCISE 4.4|5 Videos
  • INTEGRALS

    NCERT|Exercise EXERCISE 7.4|25 Videos

Similar Questions

Explore conceptually related problems

The differential equations,find a particular solution satisfying the given condition: x(x^(2)-1)(dy)/(dx)=1;y=0 when x=2

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

The differential equations,find a particular solution satisfying the given condition: (dy)/(dx)=y tan x;y=1 when x=0

The differential equations,find the particular solution satisfying the given condition: quad 2xy+y^(2)-2x^(2)(dy)/(dx)=0;y=2 when x=1

The differential equations,find a particular solution satisfying the given condition: (dy)/(dx)-3y cot x=sin2x;y=2 when x=(pi)/(2)

The differential equations,find the particular solution satisfying the given condition: (x+y)dy+(xy)dx=0;y=1 when x=1

The differential equations,find a particular solution satisfying the given condition: (dx)/(dy)+2y tan x=sin x;y=0 when x=(pi)/(3)

The differential equations,find the particular solution satisfying the given condition: x^(2)dy+(xy+y^(2))dx=0y=1 when x=1

The differential equations,find the particular solution satisfying the given condition: (dy)/(dx)-(y)/(x)+cos ec((y)/(x))=0;y=0 when x=1

The differential equations,find the particular solution satisying the given condition: [x sin^(2)((y)/(x))-y]dx+xdy=0;y=(pi)/(4) when x=1

NCERT-DIFFERENTIAL EQUATIONS-EXERCISE 9.4
  1. Find the general solution of the differential equations y log y dx – ...

    Text Solution

    |

  2. Find the general solution of the differential equations sec^2xtany dx...

    Text Solution

    |

  3. Find the general solution of the differential equations (e^x+e^(-x))d...

    Text Solution

    |

  4. Find the general solution of the differential equations (dy)/(dx)=sqr...

    Text Solution

    |

  5. Find the general solution of the differential equations (dy)/(dx)+y=1...

    Text Solution

    |

  6. Find the general solution of the differential equations (dy)/(dx)=(1-...

    Text Solution

    |

  7. In a bank, principal increases continuously at the rate of r% per yea...

    Text Solution

    |

  8. In a bank, principal increases continuously at the rate of 5% per yea...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. Find the equation of a curve passing through the point (0, 0) and who...

    Text Solution

    |

  14. The differential equations, find a particular solution satisfying the...

    Text Solution

    |

  15. Find the equation of a curve passing through the point (0, 2)given t...

    Text Solution

    |

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

    Text Solution

    |

  17. The differential equations, find a particular solution satisfying the...

    Text Solution

    |

  18. Find the general solution of the differential equations e^xtanydx+(1-...

    Text Solution

    |

  19. The differential equations, find a particular solution satisfying the...

    Text Solution

    |

  20. The differential equations, find a particular solution satisfying the...

    Text Solution

    |