Home
Class 12
MATHS
What is the solution of the differential...

What is the solution of the differential equation
`(dy)/(dx)=xy+x+y+1` ?

A

`log (1+y)=x+x^2/2 +c`

B

`(1+y)^2 =x+x^2/2+c `

C

log (1+y) = log (1+x) + c

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise CRITICAL THINKING|99 Videos

  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise EVALUATIO TEST|30 Videos

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|30 Videos

Similar Questions

Explore conceptually related problems

What is the solution of the differential equation (dy)/(dx)+ y/x =0 ?

What is the solution of the differential equation (dy)/(dx) = cos (y - x) + 1 ?

What is the solution of the differential equation (dy)/(dx)= sec (x+y) ?

What is the solution of the differential equation (dy)/(dx) + (y)/(x) = 0 ?

What is the solution of the differential equation (dy)/(dx) = sec (x + y) ?

What is the solution of the differential equation x dy - y dx = 0 ?

What is the solution of the differential equation a (x"" (dy)/(dx) + 2y) = xy "" (dy)/(dx) ?

What is the solution of the differential equation (dx)/(dy) = (x + y + 1)/(x + y - 1) ?

solution of the differential equation (dx)/(x)=(dy)/(y)

The solution of differential equation x(dy)/(dx)=y is :

TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -COMPETITIVE THINKING
  1. Find the differential equation of all straight lines, which are at a u...

    Text Solution

    |

  2. The solution of the differential equation sec x dy - "cosec " y dx =...

    Text Solution

    |

  3. What is the solution of the differential equation (dy)/(dx)=xy+x+y+1...

    Text Solution

    |

  4. The solution of the differential equation 9y"dy"/"dx"+4x=0 is

    Text Solution

    |

  5. The solution of the differential equation (1+y^2)tan^(-1) x dx +(1+x^...

    Text Solution

    |

  6. Solution of the differential equation x("dy"/"dx")^2 + 2 sqrt(xy) "dy"...

    Text Solution

    |

  7. The order of the differential equation (dx)/x +(dy)/y = 0 is

    Text Solution

    |

  8. The solution of the differential equation x(dy)/(dx)-y+3=0 represents ...

    Text Solution

    |

  9. Solution of the differential equation (dy)/(dx)=(y(1+x))/(x(y-1)) is

    Text Solution

    |

  10. The solution of the differential equation y (1 + log x) (dx)/(dy) - x ...

    Text Solution

    |

  11. The solution of the differential equation y - x ( dy)/(dx) = a ( y...

    Text Solution

    |

  12. What is the solution of the differential equation (dy)/(dx) + sqrt(...

    Text Solution

    |

  13. The general solution of the differential equation (dy)/(dx)+sin(x+y)/2...

    Text Solution

    |

  14. The solution of (dy)/(dx) = 1+ y + y^(2) + x+ xy + xy^(2) is

    Text Solution

    |

  15. The solution of the differential equation (dy)/(dx)=3^(x+y) at x=0=y i...

    Text Solution

    |

  16. The particular solution of the differential equation xdy + 2 y dx = ...

    Text Solution

    |

  17. The solution of the differential equation 2x(dy)/(dx)-y=0 , y(1)=2 re...

    Text Solution

    |

  18. Particular solution of differential equation e^("dy"/"dx") =x:y (1) = ...

    Text Solution

    |

  19. The solution of log.(dy)/(dx)=x when y=1 and x=0 is :

    Text Solution

    |

  20. Find the particular solution of the differential equation log(dy)/(...

    Text Solution

    |