Home
Class 12
MATHS
Solve the differential equation : (x ...

Solve the differential equation :
` (x + y) (dy)/(dx) = 1` .

Text Solution

Verified by Experts

The correct Answer is:
`e^(-y)`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise NCERT - FILE (Questions from NCERT Book) (Exercise 9.1)|12 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise NCERT - FILE (Questions from NCERT Book) (Exercise 9.2)|12 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise Objective Type Questions (C. True/False Questions)|5 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Chapter test 4|12 Videos

  • INTEGRALS

    MODERN PUBLICATION|Exercise COMPETITION FILE|24 Videos

Similar Questions

Explore conceptually related problems

Solve the differential equation (x+y)dy=(x-y)dx

Solve the differential equation y+x dy/dx=x

Solve the differential equation (dx)/(dy)+x=1

Solve the differential equation: (dy)/(dx)+(y)/(x)=x^(2)

Solve the differential equation (dy)/(dx)=2^(y-x)

Solve the differential equation dy/dx=2/(x+y)

Solve the differential equation x(dy)/(dx)+y=1+x

Solve the differential equation (dy)/(dx)=x^2y+y

Solve the differential equation: (dy)/(dx)-(y)/(x)=2x^(2)

Solve the differential equation (y+3x^(2))(dx)/(dy)=x

MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-Objective Type Questions (D. Very short Answer Type Questions) (Answer the following questions:)
  1. Write the degree of the differential equation x^3((d^2y)/(dx^2))^2+x\ ...

    Text Solution

    |

  2. Form the differential equation representing the family of curves y=(A)...

    Text Solution

    |

  3. Solve the differential equation (tan^(-1)y-x)dy=(1+y^2)dx.

    Text Solution

    |

  4. Form the differential equation representing the family of curves y= A...

    Text Solution

    |

  5. Solve : dy= sin x dx.

    Text Solution

    |

  6. Find the order and degree of the differential equation (d^(2)y)/(dx^(2...

    Text Solution

    |

  7. Solve the following differential equation: cos^2x(dy)/(dx)+y=tanx

    Text Solution

    |

  8. Order and degree of the differential equation ((ds)/dt) + 3s (d^(2...

    Text Solution

    |

  9. Find the sum of the order and degree of the differential equation y...

    Text Solution

    |

  10. If sinx is an integrating factor of the differential equation (dy)/...

    Text Solution

    |

  11. Write the order of the differential equation representing the family ...

    Text Solution

    |

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

    Text Solution

    |

  13. Write the particular solution of the differential equation : (dy)/(dx)...

    Text Solution

    |

  14. Solve the following differential equation: \ dy+(x+1)(y+1)dx=0

    Text Solution

    |

  15. Solve : e^(y)dx+e^(x)dy=0.

    Text Solution

    |

  16. Solve the differential equation : (x + y) (dy)/(dx) = 1 .

    Text Solution

    |

  17. Solve the following differential equations :(dy)/(dx)+2y=3.

    Text Solution

    |

  18. Solve the following differential equations : (dy)/(dx)+y=x.

    Text Solution

    |

  19. Solve the following differential equations : (dy)/(dx)-y=3x^(3).

    Text Solution

    |

  20. Solve the following differential equations : (dy)/(dx)+3y=2x.

    Text Solution

    |