Home
Class 12
MATHS
Find the particular solution of the diff...

Find the particular solution of the differential equation `(1+e^(2x))dy + (1+y^2)(e^x)dx = 0` given that `y = 1` when `x= 0`

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Solve the differential equation : (1 + e^(2x))dy + (1 + y^2)e^(2x) dx = 0 given that y = 1 when x = 0

Find the particular solution of the differential equation (tan^-1y-x)dy=(1+y^2)dx given that x=1 when y=0

Find the particular solution of the differential equation cot x (dy/dx) = y, y = 1 when x = 0 .

Find the particular solution of the differential equation : x^2 dy - y dx = 2x dy given that x = 3, y = 1

Find the particular solution of the differential equation (1+x^2)(dy)/(dx)l=e^(mtan^-1x)-y given that y=1 when x=0

Find the particular solution of the differential equation x^2dy - y dx = x dy given that x = 2, y = 1

PSEB-DIFFERENTIAL EQUATIONS-Exercise
  1. Verify that the given function (implicit or explicit) is a solution of...

    Text Solution

    |

  2. Verify that the given function (implicit or explicit) is a solution of...

    Text Solution

    |

  3. Verify that the given function (implicit or explicit) is a solution of...

    Text Solution

    |

  4. Verify that the given function (implicit or explicit) is a solution of...

    Text Solution

    |

  5. Form the differential equation representing the family of curves given...

    Text Solution

    |

  6. Prove that x^2 - y^2 = c (x^2 + y^2)^2 is the general solution of dif...

    Text Solution

    |

  7. Form the differential equation of the family of circles in the first q...

    Text Solution

    |

  8. Find the general solution of the differential equation: ((dy)/(dx)) + ...

    Text Solution

    |

  9. Show that the general solution of the differential equation ((dy)/(dx)...

    Text Solution

    |

  10. Find the equation of the curve passing through the point (0,pi/4) whos...

    Text Solution

    |

  11. Find the particular solution of the differential equation (1+e^(2x))dy...

    Text Solution

    |

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

    Text Solution

    |

  13. Find a particular solution of the differential equation (x-y)(dx+dy) =...

    Text Solution

    |

  14. Solve the differential equation [(e^(-2sqrtx) ) /sqrtx-y/sqrtx]dy/dx=1...

    Text Solution

    |

  15. Find a particular solution of the differential equation (dy)/(dx) + y ...

    Text Solution

    |

  16. Find the particular solution of the differential equation (x + 1)dy/dx...

    Text Solution

    |

  17. The population of a village increases continuously at the rate proport...

    Text Solution

    |

  18. The general solution of the differential equation (y dx - x dy)/y = 0 ...

    Text Solution

    |

  19. The general solution of a differential equation of the type(dx)/(dy) +...

    Text Solution

    |

  20. The general solution of the differential equation e^x (dy) + (y e^x + ...

    Text Solution

    |