Home
Class 12
MATHS
(x^3+x^2+x+1)(dy)/(dx)=2x^2+x ; y=1w h e...

`(x^3+x^2+x+1)(dy)/(dx)=2x^2+x ; y=1w h e nx=0`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE 9 (e) Short Answer Type Questions|5 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE 9 (f) Short Answer Type Questions|14 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE 9 (c) Long Answer Type Questions (I)|26 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Chapter test 4|12 Videos

  • INTEGRALS

    MODERN PUBLICATION|Exercise COMPETITION FILE|24 Videos

Similar Questions

Explore conceptually related problems

(x^(3)+x^(2)+x+1)(dy)/(dx)=2x^(2)+x;y=1 when x=0

Solve (x^(3)+x^(2)+x+1)(dy)/(dx) =2x^(2)+x, " given that " y=1 " when " x =0.

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

(x+1)(dy)/(dx) -1 = 2e^(-y) , y=0, " when " x=1

(dy)/(dx)=2e^(x)y^(3) , when x=0, y=(1)/(2)

e ^ (y) (dy) / (dx) + x ^ (3) cos x ^ (2) = 0

(1+x)(dy)/(dx)=((1+x)^2+(y-3)) , If y(2)=0 then y(3)=?

(1+x^(2))(dy)/(dx)+2xy=(1)/(1+x^(2));y=0 if x=1

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

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

MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE 9 (d) Short Answer Type Questions
  1. Find the general solution of the following : (x+2)(dy)/(dx)=x^(2)+4...

    Text Solution

    |

  2. Write the general solution of the following differential equations (...

    Text Solution

    |

  3. Find the general solution of the following : sqrt(1-x^(6))dy=x^(2)d...

    Text Solution

    |

  4. Find the general solution of the following : (4+5 sin x)(dy)/(dx)= ...

    Text Solution

    |

  5. Find the general solution of the following : (dy)/(dx)=cos^(3)x sin...

    Text Solution

    |

  6. Find the general solution of the following : (dy)/(dx)= (1)/(sin^(4...

    Text Solution

    |

  7. Find the general solution of the differential equation (dy)/(dx) =si...

    Text Solution

    |

  8. Find the general solution of the following : (1+cos x)(dy)/(dx)= (1...

    Text Solution

    |

  9. Find the general solution of the following : (1+cos x) dy= (1- cos ...

    Text Solution

    |

  10. Find the general solution of the following : (dy)/(dx)= log x.

    Text Solution

    |

  11. Solve the following differential equation: (dy)/(dx)-xsin^2x=1/(xlogx)

    Text Solution

    |

  12. Find the general solution of the following : (dy)/(dx)+3x= e^(-2x).

    Text Solution

    |

  13. dy / dx = sin^3x cos^2x + x e^x

    Text Solution

    |

  14. Solve : (dy)/(dx)= (1)/(1+x^(2)), y(0)=3.

    Text Solution

    |

  15. (x^3+x^2+x+1)(dy)/(dx)=2x^2+x ; y=1w h e nx=0

    Text Solution

    |

  16. cos((dy)/(dx))=a\ (a in RR); y=1 when\ x=0

    Text Solution

    |

  17. sin((dy)/(dx))=a, when x=0, y=1

    Text Solution

    |

  18. Find the particular solution of cos((dy)/(dx))=a, given that y=2 when ...

    Text Solution

    |

  19. Find the particular solution of e^(dy/dx)=x+1, given that when x=0,y=3...

    Text Solution

    |

  20. Find the equation of the curve passing through the point (1, 1) whose...

    Text Solution

    |