Home
Class 12
MATHS
The solution of the differential equatio...

The solution of the differential equation `(dy)/(dx)+(1)/(sqrt(1-x^(2)))=0` is

A

`y + sin^(-1) x = c`

B

`x + sin^(-1) y = 0 `

C

`y^(2)+2sin^(-1)x = c`

D

`x^(2)+2sin^(-1)y = 0 `

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ORDINARY DIFFERENTIAL EQUATIONS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Choose the Correct Answer)|38 Videos

  • ORDINARY DIFFERENTIAL EQUATIONS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (ANSWER THE FOLLOWING QUESTIONS )|22 Videos

  • ORDINARY DIFFERENTIAL EQUATIONS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 10.8|12 Videos

  • MODEL QUESTION PAPER -1

    PREMIERS PUBLISHERS|Exercise Part -IV|20 Videos

  • PROBABILITY DISTRIBUTIONS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|40 Videos

Similar Questions

Explore conceptually related problems

The solution of the differential equation (dy)/(dx)=2xy is

The solution of the differential equation (dy)/(dx) + y = x is :

The solution of the differential equation (x+2y^3)(dy)/(dx)=y is

Find the general solution of the differential equation (dy)/(dx)+sqrt((1-y^(2))/(1-x^(2)))=0.

Solve the differential equations : (dy)/(dx)-xsqrt(25-x^(2))=0

The general solution of the differential equation (dy)/(dx)=(y)/(x) is

Find the general solution of the differential equation (dy)/(dx) = (1 + y^(2))/(1 + x^(2)) .

Find the general solution of the differential equation (dy)/(dx)=(2+y^(2))/(1+x^(2))

PREMIERS PUBLISHERS-ORDINARY DIFFERENTIAL EQUATIONS -SOLUTION TO EXERCISE 10.9
  1. The general solution of the differential equation (dy)/(dx)=(y)/(x) is

    Text Solution

    |

  2. The solution of the differential equation 2x(dy)/(dx)-y=3 represents

    Text Solution

    |

  3. The solution of (dy)/(dx)+p(x)y=0 is

    Text Solution

    |

  4. The integrating factor of the differential equation (dy)/(dx)+y=(1+y)/...

    Text Solution

    |

  5. The integrating factor of the differential equation (dy)/(dx)+P(x)y=Q(...

    Text Solution

    |

  6. The degree of the differential equation y(x)=1+(dy)/(dx)+(1)/(1.2)((dy...

    Text Solution

    |

  7. If p and q are the oder and degree of the differential equation y(dy)/...

    Text Solution

    |

  8. The solution of the differential equation (dy)/(dx)+(1)/(sqrt(1-x^(2))...

    Text Solution

    |

  9. The solution of the differential equation (dy)/(dx)=2xy is

    Text Solution

    |

  10. The general solution of the differential equation log((dy)/(dx))=x+y i...

    Text Solution

    |

  11. The solution of (dy)/(dx)=2^(y-x) is

    Text Solution

    |

  12. The solution of the differential equation (dy)/(dx)=(y)/(x)+(phi((y)/(...

    Text Solution

    |

  13. If sinx is the integrating factor of the linear differential equation ...

    Text Solution

    |

  14. The number of arbitrary constants in the general solutions of order n ...

    Text Solution

    |

  15. The number of arbitrary constants in the particular solution of a diff...

    Text Solution

    |

  16. Integrating factor of the differential equation is (dy)/(dx)=(x+y+1)/(...

    Text Solution

    |

  17. The population P in any year t is such that the rate of increase in t...

    Text Solution

    |

  18. P is the amount of certain substanc left in after time t. If the rate ...

    Text Solution

    |

  19. If the solution of the differential equation (dy)/(dx) = (ax+3)/(2y+f...

    Text Solution

    |

  20. The slope at any point of a curve y=f(x) is given by (dy)/(dx)=3x^(2) ...

    Text Solution

    |