Home
Class 12
MATHS
The solution of the differential equatio...

The solution of the differential equation `xdy+(y)/(x)dx=(dx)/(x)` is (where, c is an arbitarary constant)

A

`y=1+ce^(1//x)`

B

`y=ce^(1//x)`

C

`y=ce^(1//x)-1`

D

`xy=1-ce^(1//x)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • JEE MOCK TEST 17

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • JEE MOCK TEST 2

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

The solution of the differential equation (dy)/(dx)=(x-y)/(x-3y) is (where, c is an arbitrary constant)

The solution of the differential equation (dy)/(dx)=(2x-y)/(x-6y) is (where c is an arbitrary constant)

The solution of the differential equation xdy + (x+y) dx=0 is

solution of the differential equation (dx)/(x)=(dy)/(y)

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

The solution of the differential equation ycosx.dx=sinx.dy+xy^(2)dx is (where, c is an arbitrary constant)

The solution of differential equation x(dy)/(dx)=y is :

The solution of the differential equation x(dy)/(dx)=y ln ((y^(2))/(x^(2))) is (where, c is an arbitrary constant)

The solution of the differential equation xdy-ydx+3x^(2)y^(2)e^(x^(3))dx=0 is (where, c is an arbitrary constant)

What is the general solution of the differential equation x dy - y dx = y^(2)dx ? Where C is an arbitrary constant

NTA MOCK TESTS-JEE MOCK TEST 18-MATHEMATICS
  1. The possible values of n for which the equation nx^(2)+(2n-1) x +(n-1)...

    Text Solution

    |

  2. The value of the integral I=int(1)^(2)t^([{t}]+t)(1+ln t)dt is equal t...

    Text Solution

    |

  3. The solution of the differential equation xdy+(y)/(x)dx=(dx)/(x) is (w...

    Text Solution

    |

  4. In an experiment with 9 observation on x, the following results are av...

    Text Solution

    |

  5. If two parabolas y^(2)-4a(x-k) and x^(2)=4a(y-k) have only one common ...

    Text Solution

    |

  6. If a, b & 3c are in arithmetic progression and a, b & 4c are in geomet...

    Text Solution

    |

  7. The number of terms in the expansion of (5^((1)/(6))+7^((1)/(9)))^(182...

    Text Solution

    |

  8. The number of ways in which 10 balls can be selected from 10 identical...

    Text Solution

    |

  9. Consider the function f(x)=cos^(-1)([2^(x)])+sin^(-1)([2^(x)]-1), then...

    Text Solution

    |

  10. If A & B are two sets such that n(AxxB)=60 & n (A) = 12 also n(AnnB)=K...

    Text Solution

    |

  11. The value of lim(xrarr0^(-))(2^(1//x)+2^(3//x))/(3(2^(1//x))+5(2^(3//x...

    Text Solution

    |

  12. If f(x)=x^(3)+3x+1 and g(x) is the inverse function of f(x), then the ...

    Text Solution

    |

  13. The contrapositive of the statement: "If the weather is fine then my f...

    Text Solution

    |

  14. Lines L(1) & L(2) are rotating in an anticlockwise direction about the...

    Text Solution

    |

  15. The value of the integral inte^(3sin^(-1)x)((1)/(sqrt(1-x^(2)))+e^(3co...

    Text Solution

    |

  16. If the locus of the foot of the perpendicular drawn from centre upon a...

    Text Solution

    |

  17. Let M=[(a,b,c),(d,e,f),(1,1,1)] and N=(M^(2))/(2). If (a-b)^(2)+(d-e)^...

    Text Solution

    |

  18. A small pack of cards consists of 5 green cards 4 blue cards and 3 bla...

    Text Solution

    |

  19. Let veca, vecb, vecc be three vectors of magntiude 3, 4, 5 respectivel...

    Text Solution

    |

  20. Let Z=re^(itheta)(r gt 0 and pi lt theta lt 3pi) is a root of the equa...

    Text Solution

    |