Home
Class 12
MATHS
Which of the following statement is corr...

Which of the following statement is correct ?
Statement I if `dy+2xydx=2e^(-x^(2))dx`, Then `ye^(x^(2))=2x+c`
Statement II If `ye^(x^(2))-2x=c`, Then `dx=(2e^(-x^(2))-2xy)dy`

A

Both I and II are true

B

Neither I nor II is true

C

I is true, II is false

D

I is false, II is true

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|62 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Exercise - I|50 Videos

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|64 Videos

  • ELLIPSE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|65 Videos

Similar Questions

Explore conceptually related problems

Which of the following statements are true Statement-I : If y=x^(2)+2x,x=3, deltax=0.01 then dy=0.08 Statement-II : If y=x^(2)+2x,x=3,deltax=0.01 then deltay=0.0801

Solve the following differential equations. (x^(2)y-2xy^(2))dx=(x^(3)-3x^(2)y)dy

int(e^(x)-e^(-2x))/(e^(2x)+e^(-2x))dx

Solve the following differential equations. (1-x^(2))(dy)/(dx)+2xy=x sqrt(1-x^(2))

If y = x^(2) e^(x) sin x , then find (dy)/(dx)

If xy (x + y) =2 then (dy)/(dx)=

Let y = e^(2x) . Then ((d^2y)/(dx^2)) ((d^2x)/(dy^2)) =

AAKASH SERIES-DIFFERENTIAL EQUATIONS-Exercise - II
  1. The solution of (1+x^(2)) (dy)/(dx) + y = e^(Tan^(-1)x) is

    Text Solution

    |

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

    Text Solution

    |

  3. Which of the following statement is correct ? Statement I if dy+2xyd...

    Text Solution

    |

  4. The general solution of e^(y)((dy)/(dx)) + 2(e^(y))/(x) = Sin x is

    Text Solution

    |

  5. Solution of xy - (dy)/(dx) = y^(3)e^(-x^(2)) is

    Text Solution

    |

  6. Solve (dy)/(dx) + (y)/(x) = x^(2)y^(6)

    Text Solution

    |

  7. The solution of (1-x^(2)) (dy)/(dx) + xy = xy^(2) is

    Text Solution

    |

  8. The solution of (dy)/(dx) + x sin 2y = x^(3) cos^(2) y is

    Text Solution

    |

  9. If x^(2)y-x^(3)(dy)/(dx)=y^(4)cosx then x^(3)y^(-3) is equal to

    Text Solution

    |

  10. Match the differential equations in List-I to their integrating factor...

    Text Solution

    |

  11. The solution of (dx)/(dy) - (2)/(3)xy = x^(4)y^(3) is

    Text Solution

    |

  12. If the solution of cosec^(2)x(dy)/(dx) - (1)/(y) = 0 is ax + b sin 2x ...

    Text Solution

    |

  13. Assertion (A) : Integrating factor of 1+(x tan y - sec)(dy)/(dx) = 0 i...

    Text Solution

    |

  14. Assertion (A) : The differential equaiton of the family of rectangular...

    Text Solution

    |

  15. Asserton (A) : The solution of (dy)/(dx) = (x+y)/(x) is e^(y//x) = cx ...

    Text Solution

    |

  16. The solution of the differential equation (dy)/(dx) - 2y tan 2x = e^(x...

    Text Solution

    |

  17. An integrating factor of the equation (1+y+x^(2)y)dx+(x+x^(3))dy=0 is

    Text Solution

    |

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

    Text Solution

    |

  19. The differential equation of co-axial system of circles x^(2) + y^(2) ...

    Text Solution

    |

  20. The trajectories orthogonal to x^(2)+y^(2) = 2ax is

    Text Solution

    |