Home
Class 12
MATHS
What is the solution of y'=1+x+y^(2)+xy^...

What is the solution of `y'=1+x+y^(2)+xy^(2),y(0)=0`?

A

`y^2 =exp(x+x^2/2)-1`

B

`y^2=1+c exp(x+x^2/2)`

C

`y=tan (c + x+x^2)`

D

`y=tan (x+x^2/2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|124 Videos

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos

  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise EVALUATIO TEST|30 Videos

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|30 Videos

Similar Questions

Explore conceptually related problems

The solution of y'=(x+y)^(2),y(0)=0 is given by

The solution of y' =2 +2 x + 2y^2 +2 xy ^2 , y (0) =0 is :

The solution of (x-y^(3))(dx)+3xy^(2)(dy)=0 is

The solution of x^(2)dy-y^(2)dx+xy^(2)(x-y)dy=0, is

What is the value of x^(2) + 2xy +y^(2) ? I. x+y=0 II. x =-y .

TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -CRITICAL THINKING
  1. The general solution of the differential equation (1+x y)y dx+x(1-x y)...

    Text Solution

    |

  2. The solution of y e^(-x/y)dx-(x e^((-x/y))+y^3)dy=0 is (a) ( b ) (c...

    Text Solution

    |

  3. What is the solution of y'=1+x+y^(2)+xy^(2),y(0)=0?

    Text Solution

    |

  4. The solution of y'-y = 1 , y(0)=-1 is given by y(x) =

    Text Solution

    |

  5. The solution of e^(dy//dx) = (x+1) , u (0) = 3 is

    Text Solution

    |

  6. The solution of (dy)/(dx)+1 = e^(x+y) is

    Text Solution

    |

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

    Text Solution

    |

  8. The solution of the differential of the differential equation (dy)/...

    Text Solution

    |

  9. The solution of dy//dx=cos(x+y)+sin(x+y), is given by

    Text Solution

    |

  10. The solution of differential equation x^2 dy/dx=x^2+xy+y^2 is

    Text Solution

    |

  11. The solution of the equation "dy"/"dx"=y/x("log"y/x+1) is

    Text Solution

    |

  12. The differential equation (x + y)dx + xdy=0 is

    Text Solution

    |

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

    Text Solution

    |

  14. The general solution of y^(2)dx+(x^(2)-xy+y^(2))dy=0, is

    Text Solution

    |

  15. The solution of the differential equation 2xy"dy"/"dx"=x^2+3y^2 is

    Text Solution

    |

  16. The solution of the differential equation "dy"/"dx"=x/(2y-x) is

    Text Solution

    |

  17. If y'=(x-y)/(x+y) , then its solution is

    Text Solution

    |

  18. Which of the following equation is non-linear ?

    Text Solution

    |

  19. Which of the following equation is linear ?

    Text Solution

    |

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

    Text Solution

    |