Home
Class 12
MATHS
y=(sin^(-1)x)^(2)+c is a solution of the...

`y=(sin^(-1)x)^(2)+c` is a solution of the differential equation

A

`(1-x^(2))(d^(2)y)/(dx^(2))+x(dy)/(dx)+2=0`

B

`(1-x^(2))(d^(2)y)/(dx^(2))+x(dy)/(dx)-2=0`

C

`(1-x^(2))(d^(2)y)/(dx^(2))+x(dy)/(dx)+2=0`

D

`(1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)+2=0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|243 Videos

  • DIFFERENTIATION

    NIKITA PUBLICATION|Exercise MCQ|559 Videos

Similar Questions

Explore conceptually related problems

y = sin 3x is a solution of the differential equation

Verify that y=(c-x)/(1+cx) is a solution of the differential equation (1+x^(2))(dy)/(dx)+(1+y^(2))=0.

Solution of the differential equation cos xdy=y(sin x-y)dx

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

Prove that,y=A cos x+sin x, is the solution of the differential equation cos x(dy)/(dx)+y sin x=1

Solution of the differential equation cos^(2)(x-y)(dy)/(dx)=1

In the following questions verify that the given function is a solution of the given differential equation : y = c_(1) sin x + c_(2)cos x , (d^(2)y)/(d x^(2)) +y =0

verify that the given function is a solution of the differential equations : (dy)/(dx)+sin x = 0, y=cos x + c .

Solution of the differential equation sin^(-1)((dy)/(dx))=x+y is

NIKITA PUBLICATION-Differential Equation-MULTIPLE CHOICE QUESTION
  1. y=x^(m) is a solution of the differential equation

    Text Solution

    |

  2. y secx=tan x+c is a solution of the differential equation

    Text Solution

    |

  3. y=(sin^(-1)x)^(2)+c is a solution of the differential equation

    Text Solution

    |

  4. Verify the solution problems: Show that y = e^-x + ax +b is solution o...

    Text Solution

    |

  5. y=logx+c is a solution of the differential equation

    Text Solution

    |

  6. Solution of the differtial equation y-x(dy)/(dx)=0 is

    Text Solution

    |

  7. The solution of the differential equationn (d theta)/(dt)=-k(theta-the...

    Text Solution

    |

  8. Solution of the differential equation (dy)/(dx)=(y(1+x))/(x(y-1)) is

    Text Solution

    |

  9. Solution of the differential equation (dy)/(dx)=x^(2)y+y is

    Text Solution

    |

  10. Solution of the differential equation (dy)/(dx)=(1+y^(2))/(1+x^(2)) is

    Text Solution

    |

  11. The solution of the differential equation (1-x^2)(1-y)dx=x y(1+y)dy ...

    Text Solution

    |

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

    Text Solution

    |

  13. What is the solution of the differential equation (dy)/(dx)=xy+x+y+1...

    Text Solution

    |

  14. Solution of the differential equation xy^(3)(dy)/(dx)=1-x^(2)+y^(2)-x^...

    Text Solution

    |

  15. Solution of the differrential equation (dy)/(dx)=xsqrt(25-x^(2)) is

    Text Solution

    |

  16. If a an arbitrary constant, then solution of the differential equation...

    Text Solution

    |

  17. Solution of the differential equation

    Text Solution

    |

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

    Text Solution

    |

  19. Solution of the differential equation dr=a(rsin thetad theta-cos theta...

    Text Solution

    |

  20. Solution of the differential equation cos x cos y dy -sin x sin y dx=0...

    Text Solution

    |