Home
Class 12
MATHS
If y=ce^("sin"^(-1)x), then correspondin...

If `y=ce^("sin"^(-1)x)`, then corresponding to this the differential equation is

A

`(dy)/(dx)=y/sqrt(1-x^2)`

B

`(dy)/(dx)=1/sqrt(1-x^2)`

C

`(dy)/(dx) = x /sqrt(1-x^2)`

D

`(dy)/(dx)=sqrt(1-x^2)/y`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise CRITICAL THINKING|99 Videos

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|124 Videos

  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise EVALUATIO TEST|30 Videos

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|30 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation: y=cos x+Cvdotsy'+sin x=0

Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation: y-cos y=x:(y sin y+cos y+x)y?=y

Let a solution y=y(x) of the differential equation (dy)/(dx)cosx+y sin x-1 satisfy y(0)=1 Statement-1: y(x)=sin((pi)/(4)+x) Statement-2: The integrating factor of the given differential equation is sec x.

Show that the differential equation x(dy)/(dx)sin(y/x)+x-ysin(y/x)=0 is homogenous. Find the particular solution of this differential equation, given that x=1 when y=pi/2 .

What are the degree and order respectively of the differential equation satisfying e^(y sqrt(1-x^(2))+x sqrt(1-y^(2)))=ce^(x)

Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation: y=sqrt(1+x^(2))y'=(xy)/(1+x^(2))

TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -EVALUATION TEST
  1. If y=ce^("sin"^(-1)x), then corresponding to this the differential equ...

    Text Solution

    |

  2. The order of the differential equation satisfying sqrt(1-x^4)+sqrt(1-y...

    Text Solution

    |

  3. The degree of the differential equation (d^3y)/(dx^3)+x((dy)/(dx))^4 =...

    Text Solution

    |

  4. The equation of the curve in which the portion of the tangent included...

    Text Solution

    |

  5. The degree of the differential equation satisfying the relation sqrt(1...

    Text Solution

    |

  6. The solution of the differential equation (dy)/(dx)=y/x+(f(y/x))/((f')...

    Text Solution

    |

  7. The solution of (dy)/(dx)+yf'(x)-f(x).f'(x)=0,y!=f(x) is

    Text Solution

    |

  8. A function y=f(x) satisfies (x+1)f^(prime)(x)-2(x^2+x)f(x)=(e^x^2)/((x...

    Text Solution

    |

  9. The solution of dy/dx = (x^2+y^2+1)/(2xy) satisfying y(1)=0 is given b...

    Text Solution

    |

  10. The solution of the differential equation xdx+ydy+(xdy-ydx)/(x^(2)+y^(...

    Text Solution

    |

  11. The solution of the differential equation 2x^2y"dy"/"dx"=tan(x^2y^2) ...

    Text Solution

    |

  12. The solution of the differential equation x^(3)(dy)/(dx)+4x^(2) tany=e...

    Text Solution

    |

  13. The general solution of the differential equation (dy)/(dx) = y tan x ...

    Text Solution

    |

  14. The equation of the curve satisfying the eqution (xy=x^(2)) (dy)/(dx)...

    Text Solution

    |

  15. Solution of the equation (dy)/(dx)=e^(x-y)(1-e^y) is

    Text Solution

    |

  16. The x-intercept of the tangent to a curve is equal to the ordinate of ...

    Text Solution

    |

  17. The differential equation (dy)/(dx)=sqrt(1-y^(2))/(y) determines a fam...

    Text Solution

    |

  18. Which one of the following functions is not homogeneous ?

    Text Solution

    |

  19. A curve passes through (1,pi/4) and at (x,y) its slope is (sin 2y)/(x+...

    Text Solution

    |

  20. The equation of the family of curves which intersect the hyperbola xy-...

    Text Solution

    |

  21. Find the equation of a curve passing through (0,1) and having gradient...

    Text Solution

    |