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

Find the general solution of each of the following differential equations:
`sqrt(1-x^(4))dy=x dx `

Text Solution

Verified by Experts

The correct Answer is:
`y=(1)/(2)sin^(-1)(x^(2))+C`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS WITH VARIABLE SEPARABLE

    RS AGGARWAL|Exercise Exercise 19A|16 Videos

  • DIFFERENTIAL EQUATIONS AND THEIR FORMATION

    RS AGGARWAL|Exercise Exercise 18C|16 Videos

  • DIFFERENTIATION

    RS AGGARWAL|Exercise Exercise 10I|51 Videos

Similar Questions

Explore conceptually related problems

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: x sqrt(1+y^(2))dx +y sqrt(1+x^(2))dy =0

Find the general solution of each of the following differential equations: (1-x^(2))dy +xy(1-y)dx =0

Find the general solution of each of the following differential equations: e^(x)sqrt(1-y^(2))dx +(y)/(x)dy=0

Find the general solution of each of the following differential equations: (y+xy)dx +(x-xy^(2))dy=0

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^(4)(dy)/(dx)=-y^(4)

Find the general solution of each of the following differential equations: y log y dx - x dy =0

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

Find the general solution of each of the following differential equations: e^(y)(1+x^(2))dy-(x)/(y)dx =0

RS AGGARWAL-DIFFERENTIAL EQUATIONS WITH VARIABLE SEPARABLE-Exercise 19B
  1. Find the general solution of each of the following differential equat...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. Find the general solution of each of the following differential equati...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. Find the particular solution of the differential equation (dy)/(dx) = ...

    Text Solution

    |

  18. Find the particular solution of the differential equation x(1+y^(2))dx...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |