Home
Class 12
MATHS
Find the general solution of each of the...

Find the general solution of each of the following differential equations:
`(dy)/(dx)+y=1(y ne 1)`

A

`log |1/(1-y)| = x+c `

B

log |1-y| =x +c

C

log | 1 + y| =x+c

D

`log|1/(1-y)|=-x+c`

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

Find the general solution of each of the following differential equations: (dy)/(dx)=1-x+y-xy

Find the general solution of each of the following differential equations: (dy)/(dx)=(x-1)/(y+2)

Find the general solution of each of the following differential equations: (dy)/(dx)=1+x+y+xy

Find the general solution of each of the following differential equations: x(dy)/(dx) +y = y^(2)

Find the general solution of each of the following differential equations: (dy)/(dx)=e^(x+y)

Find the general solution of each of the following differential equations: (x-1)(dy)/(dx)=2x^(3)y

Find the general solution of each of the following differential equations: x^(4)(dy)/(dx)=-y^(4)

Find the general solution of each of the following differential equations: (1+x^(2))(dy)/(dx)=xy

Find the general solution of each of the following differential equations: (dy)/(dx)=(1+x)(1+y^(2))

Find the general solution of each of the following differential equations: (dy)/(dx)=e^(x+y)+e^(x-y)

TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -COMPETITIVE THINKING
  1. The solution of (dy)/(dx)+P(x)y=0, is

    Text Solution

    |

  2. Find the general solution of (dy)/(dx)+ay=e^(mx)

    Text Solution

    |

  3. Find the general solution of each of the following differential equat...

    Text Solution

    |

  4. Solution of differential equation x(dy)/(dx)=y+x^2 is

    Text Solution

    |

  5. Find the general solution of the differential equation x(dy)/(dx)+2y=...

    Text Solution

    |

  6. y+x^2="dy"/"dx" has the solution

    Text Solution

    |

  7. The solution of differential equation (1+y^(2))+(x-e^(tan^(-1)y))(dy...

    Text Solution

    |

  8. The solution of (y-3x^2)dx +xdy=0 is

    Text Solution

    |

  9. The solution of the equation (x-4y^3)"dy"/"dx"-y=0, (y gt 0) is

    Text Solution

    |

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

    Text Solution

    |

  11. The general solution of the DE (dy)/(dx) + (y)/(x) = x ^(2) is

    Text Solution

    |

  12. The solution of differential equation cos x dy = y (sin x - y ) dx,...

    Text Solution

    |

  13. The solution of the differential equation (xy^4 + y) dx-x dy = 0, is

    Text Solution

    |

  14. The solution of (dy)/(dx) + y tan x = sec x is

    Text Solution

    |

  15. The solution of the differential equation (dy)/(dx)+y/(x loge x)=1/x, ...

    Text Solution

    |

  16. Let y(x) be the solution of the differential equation ( x log ...

    Text Solution

    |

  17. Consider the differential equation y^2dx+(x-1/y)dy=0 if y(1)=1 then x ...

    Text Solution

    |

  18. Let y(x) be a solution of (1+x^2)"dy"/"dx"+2xy-4x^2=0 and y(0)=-1 Th...

    Text Solution

    |

  19. If x(t) is a solution of ((1+t)dy)/(dx)-t y=1 and y(0)=-1 then y(1)...

    Text Solution

    |

  20. Solve the differential equation "dy=cos x(2-y cosec x)dx" given that y...

    Text Solution

    |