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

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

Text Solution

AI Generated Solution

To solve the differential equation \((x+y) \frac{dx}{dy} = 1\), we will follow these steps: ### Step 1: Rewrite the equation First, we can rewrite the given equation in a more standard form. We start with: \[ (x+y) \frac{dx}{dy} = 1 \] Dividing both sides by \(x+y\), we get: ...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NCERT|Exercise EXERCISE 9.4|23 Videos
  • DIFFERENTIAL EQUATIONS

    NCERT|Exercise SOLVED EXAMPLES|28 Videos
  • DIFFERENTIAL EQUATIONS

    NCERT|Exercise Miscellaneous Exercise|18 Videos
  • DETERMINANTS

    NCERT|Exercise EXERCISE 4.4|5 Videos
  • INTEGRALS

    NCERT|Exercise EXERCISE 7.4|25 Videos

Similar Questions

Explore conceptually related problems

Find the general solution of the differential equations: (x+3y^(2))(dx)/(dy)=y(y>0)

Find the general solution of the differential equations: ,x log x(dx)/(dy)+y=(2)/(x)log x

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

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

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

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

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

Find the general solution of the linear differential equation (x+y)(dy)/(dx)=1

Find the general solution of the linear differential equation (x+y)(dy)/(dx)=1

Find the general solution of the differential equations (dy)/(dx)=sin^(-1)x

NCERT-DIFFERENTIAL EQUATIONS-EXERCISE 9.6
  1. Find the general solution of the differential equations:(dx)/(dy)+sec...

    Text Solution

    |

  2. Find the general solution of the differential equations: cos^2x(dy/dx...

    Text Solution

    |

  3. Find the general solution of the differential equations:x(dx)/(dy)+2y...

    Text Solution

    |

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

    Text Solution

    |

  5. Find the equation of a curve passing through the origin given that th...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. Find the general solution of the differential equations:(x+3y^2)(dx)/...

    Text Solution

    |

  10. y dx+(x-y^2)dy=0

    Text Solution

    |

  11. Find the general solution of the differential equations:(x+y)(dx)/(dy...

    Text Solution

    |

  12. Find the general solution of the differential equations:xlogx(dx)/(dy...

    Text Solution

    |

  13. The Integrating Factor of the differential equation (1-y^2)(dx)/(dy)+...

    Text Solution

    |

  14. The Integrating Factor of the differential equation x(dy)/(dx)-y=2x^2...

    Text Solution

    |

  15. Find the general solution of the differential equations:(1+x^2)dy+2x ...

    Text Solution

    |

  16. Find the general solution of the differential equations:x(dx)/(dy)+y-...

    Text Solution

    |

  17. Find the general solution of the differential equations:(dx)/(dy)+2y=...

    Text Solution

    |

  18. Find the general solution of the differential equations:(dx)/(dy)+3y=...

    Text Solution

    |

  19. Find the general solution of the differential equations:(dx)/(dy)+y/x...

    Text Solution

    |