Home
Class 12
MATHS
Assertion (A) : Integrating factor of 1+...

Assertion (A) : Integrating factor of `1+(x tan y - sec)(dy)/(dx) = 0` is sec y
Reason (R) : Integrating factor of
`(dy)/(dx) +P(x)y = Q(x)` is `e^(int P(x)dx)`
Then the statement among the following is

A

Both (A) and (R) are true and R is correct explanation of A

B

Both (A) and (R) are true and R is not correct explanation of A

C

A is true, (R) is false

D

(A) is false (R) is true

Text Solution

Verified by Experts

The correct Answer is:
A
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

Observe the following statements: A: Integrating factor of (dy)/(dx) + y = x^(2) " is " e^(x) R: Integrating factor of (dy)/(dx) + P(x)y = Q(x) " is " e^(int p(x) dx) Then the true statement among the following is

Observe the following statements: A: Integrating factor of (x + 2y^(3)) (dy)/(dx) = y " is " (1)/(y) R: Integrating factor of (dx)/(dy) + P(y) x = Q (y) " is " e^(int p(y)dy) Then the true statement among the following is

Assertion (A) Integrating factor of (dy)/(dx)+y=x^(2) is e^(x) . Reason (R ) Integrating factor of (dy)/(dx)+P(x)y=Q(x) is eintp(x)dx

Integrating factor of (x + 2y^(3)) (dy)/(dx) = y^(2) is

Integrating factor of (dy)/(dx) - (2)/(x +1) y = (x + 1)^(2) is

Integrating factor of sin x (dy)/(dx) + y cos x = sin 2x is

An equation (dy)/(dx) + p(x).y = q(x) is called

The integrating factor of c Cos x((dy)/(dx)) + (x Sin x + Cos x)y = 1 is

AAKASH SERIES-DIFFERENTIAL EQUATIONS-Exercise - II
  1. The solution of (dx)/(dy) - (2)/(3)xy = x^(4)y^(3) is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. The volume of spherical ballon being inflated changes at a constant ra...

    Text Solution

    |

  12. In a bank, principal increases continuously at the rate of r% per yeat...

    Text Solution

    |

  13. In a bank, principal increases continuously at the rate of 5% per yea...

    Text Solution

    |

  14. In a culture, the bacteria count is 1,00,000. The number is increased ...

    Text Solution

    |

  15. The population of a village increases continuously at the rate proport...

    Text Solution

    |

  16. The solution of the differential equation (dy)/(dx) = (y)/(x) + (Phi...

    Text Solution

    |

  17. If y = y (x) is the solution of the differential equation ((2 + sin x)...

    Text Solution

    |

  18. (dy)/(dx) +2x tan(x-y) = 1 rArr sin(x-y) =

    Text Solution

    |

  19. Integrating factor of the differential equation (1-x^(2)) (dy)/(dx) + ...

    Text Solution

    |

  20. The differential equation (dy)/(dx) = (1)/(ax + by + c) where a,b,c a...

    Text Solution

    |