Home
Class 12
MATHS
For each of the differential equation fi...

For each of the differential equation find the general solution `(dy)/(dx) = sin^(-1)x`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NCERT BANGLISH|Exercise EXERCISE - 9.5|17 Videos
  • DIFFERENTIAL EQUATIONS

    NCERT BANGLISH|Exercise EXERCISE - 9.6|19 Videos
  • DIFFERENTIAL EQUATIONS

    NCERT BANGLISH|Exercise EXERCISE - 9.3|12 Videos
  • DETERMINANTS

    NCERT BANGLISH|Exercise Miscellaneous Exercises on Chapter 4|18 Videos
  • INTEGRALS

    NCERT BANGLISH|Exercise EXERCISE 7.12|44 Videos

Similar Questions

Explore conceptually related problems

For each of the differential equation find the general solution (dy)/(dx) + 3y = e^(-2x)

find the general solution : (dy)/(dx) = sin x

For each of the differential equations find solution: (dy)/(dx) + tan x = , y = 0 when x = (pi)/(3)

For each of the differential equations in Exercises 1 to 10, find the general solution: 1. (dy)/(dx) = (1 - cos x)/(1 + cos x)

Find the general solution of (x+log y)dy + y dx =0

solve the differential equation (1+x^2)dy/dx=x

Find the general solution of the differential equation (dy)/(dx) = cosx.

The general solution of the equation (dy)/(dx)=1+x y is

Solution of the differential equation tany (dy)/(dx)=sin(x+y)+sin(x-y) is -

The general solution of equation (dy)/(dx)+y= sinx is -

NCERT BANGLISH-DIFFERENTIAL EQUATIONS-EXERCISE - 9.4
  1. sec^(2)x tan y dx + sec^(2) y tan x dy = 0

    Text Solution

    |

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

    Text Solution

    |

  3. (dy)/(dx) = (1 + x^(2))(1 + y^(2))

    Text Solution

    |

  4. y log y dx - x dy = 0

    Text Solution

    |

  5. x^(5)(dy)/(dx) = - y^(5)

    Text Solution

    |

  6. For each of the differential equation find the general solution (dy)/(...

    Text Solution

    |

  7. e^(x) tan y dx + (1 - e^(x))sec^(2)y dy = 0

    Text Solution

    |

  8. For each of the differential equations in Exercises 11 to 14, find a p...

    Text Solution

    |

  9. x(x^(2) - 1)(dy)/(dx) = 1, y = 0 when x = 2.

    Text Solution

    |

  10. cos ((dy)/(dx)) = a (a ne R), y = 1 when x = 0

    Text Solution

    |

  11. (dy)/(dx) = y tan x, y = 1 when x = 0

    Text Solution

    |

  12. Find the equation of a curve passing through the point (0,0) and whose...

    Text Solution

    |

  13. For the differential equation xy(dy)/(dx) = (x + 2)( y + 2), find the ...

    Text Solution

    |

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

    Text Solution

    |

  15. At any point (x,y) of a curve, the slope of the tangent is twice the s...

    Text Solution

    |

  16. The volume of spherical balloon being inflated changes at a constant r...

    Text Solution

    |

  17. In a bank, principal increases continuously at the rate of r% per year...

    Text Solution

    |

  18. In a bank, principal increases continuously at the rate of 5% per year...

    Text Solution

    |

  19. In a culture, the bacteria count is 1,00,000. The number is increased...

    Text Solution

    |

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

    Text Solution

    |