Home
Class 12
MATHS
Which of the following functions is a so...

Which of the following functions is a solution of the differential equation `((dy)/(dx))^(2)-x((dy)/(dx))+y=0` ?

A

y =2

B

y = 2x

C

y = 2x -4

D

`y = 2x^(2)-4`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • Definite Integrals and its Application

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|453 Videos
  • DIFFERENTIATION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|390 Videos

Similar Questions

Explore conceptually related problems

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

Solution of the differential equation (dx)/(x)+(dy)/(y)=0 is

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

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

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

The solution for the differential equation (dy)/(y)+(dx)/(x)=0 is

A solutionof of the differential differential equation ((dy)/(dx))^2-x(dy)/(dx)+y=0 is :

The solution of the differential equation x^2(dy)/(dx)-xy=1+cos""(y)/x is

HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. The solution of the differential equation 2x dy/dx-y=3 represent

    Text Solution

    |

  2. The integrating factor of the differential equation : (dy)/(dx)(xlo...

    Text Solution

    |

  3. Which of the following functions is a solution of the differential equ...

    Text Solution

    |

  4. Which of the following is not a homogeneous function of x and y

    Text Solution

    |

  5. Solution of the differential equation (dx)/(x)+(dy)/(y)=0 is

    Text Solution

    |

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

    Text Solution

    |

  7. The degree of the differential equation ((d^(2)y)/dx^(2))^(2)+(dy/dx)^...

    Text Solution

    |

  8. The degree of the equation [1+(dy/dx)^(2)]^(3/2) = ((d^(2)y)/dx^(2)) i...

    Text Solution

    |

  9. The order and degree of the differential equation (d^(2)y)/dx^(2) + (d...

    Text Solution

    |

  10. If y=e^(-x)(Acosx+Bsinx), then y satisfies :

    Text Solution

    |

  11. The differential equation for y = A cos alpha x + B sin alpha x Where ...

    Text Solution

    |

  12. Solution of the differential equation xdy-ydx =0 represents

    Text Solution

    |

  13. Integrating factor of the differential equation cos x dy/dx + y sin x ...

    Text Solution

    |

  14. The solution of the differential equation y sec^(2) x dx + tan x . Sec...

    Text Solution

    |

  15. The family y=ax+a^3 of curves is represented by the differential equat...

    Text Solution

    |

  16. Integrating factor of x(dy)/(dx) -y = x^(4) -3x is

    Text Solution

    |

  17. Solution of dy/dx-y =1, y(0) =1 is given by

    Text Solution

    |

  18. The number of solutions of dy/dx = (y+1)/(x-1) when y(1) = 2 is

    Text Solution

    |

  19. Which of the following is a second order differential equation?

    Text Solution

    |

  20. Integrating factor of the differential equation (1-x^(2)) dy/dx- xy =1...

    Text Solution

    |