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

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

Text Solution

Verified by Experts

The correct Answer is:
`sqrtt(1-y^(2))=(x-1)e^(x)+1`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTAL QUATIONS

    ACCURATE PUBLICATION|Exercise TYPE-III:TRUE OR FALSE QUESTIONS|26 Videos

  • DETERMINANTS

    ACCURATE PUBLICATION|Exercise (Question carrying 6 marks)|7 Videos

  • DIFFERENTIABILITY

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 4 MARKS|50 Videos

Similar Questions

Explore conceptually related problems

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

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

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 (tan^-1y-x)dy=(1+y^2)dx given that x=1 when y=0

Find the particular solution of the differential equation (dy)/(dx)=(xy)/(x^2+y^2) given that y=1, when x=0.

Find the particular solution of the differential equation log((dy)/(dx)) = 3x + 4y given that y = 0 when x = 0

Find the particular solution of the differential equation (dy)/(dx)=-(x+ycosx)/(1+sinx) given that y=1, when x=0

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

ACCURATE PUBLICATION-DIFFERENTAL QUATIONS-QUESTIONS CARRYING 4 MARKS
  1. If y(x) is a solution of the differential equation ((2+sinx)/(1+y))(dy...

    Text Solution

    |

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

    Text Solution

    |

  3. Find the particular solution of the differential equation e^(x)sqrt(1-...

    Text Solution

    |

  4. Solve the differential equation (x^(2)-yx^(2))dx+(y^(2)+x^(2)y^(2))dy=...

    Text Solution

    |

  5. Find the particular solution of the following differential equation: ...

    Text Solution

    |

  6. Show that each of the following differential equations is homogeneous ...

    Text Solution

    |

  7. Show that each of the following differential equations is homogeneous ...

    Text Solution

    |

  8. Show that each of the following differential equations is homogeneous ...

    Text Solution

    |

  9. Show that the given differential equations are homogeneous and solve t...

    Text Solution

    |

  10. Show that the given differential equation is homogeneous and solve it:...

    Text Solution

    |

  11. Solve the differential equation xdy - ydx = sqrt(x^2+y^2)dx

    Text Solution

    |

  12. Solve the following differential equations ( x sin"" (y)/( x)) dy =...

    Text Solution

    |

  13. Show that the differential equation x-cos(y/x)((dy)/(dx)) = ycos(y/x)+...

    Text Solution

    |

  14. Solve the following differential equation: [y-xcos(y/x)]dy+[ycos(y/x...

    Text Solution

    |

  15. For the differential equation, find the particular solution satisfying...

    Text Solution

    |

  16. For each of the differential equations, find the particular solution s...

    Text Solution

    |

  17. For each of the differential equations, find the particular solution s...

    Text Solution

    |

  18. Solve : x log x dy/dx+y=2/x log x.

    Text Solution

    |

  19. Find one parameter families of solution curves of the following differ...

    Text Solution

    |

  20. Solve the differential equation: [e^(-2sqrt(x))/sqrt(x) -y/sqrt(x)](...

    Text Solution

    |