Home
Class 12
MATHS
Solution of e^((dy)/(dx)) = x when x = ...

Solution of `e^((dy)/(dx)) = x ` when x = 1 and y = 0 is

A

`y = x (log x - 1) + 1`

B

`y =x (log x - 1) + 4`

C

y = x (log x - 1) + 3

D

y = x (log x + 1) + 1

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2010

    KCET PREVIOUS YEAR PAPERS|Exercise Mathematics|60 Videos
  • KARNATAKA CET 2013

    KCET PREVIOUS YEAR PAPERS|Exercise Mathematics|60 Videos

Similar Questions

Explore conceptually related problems

Solution of dy/dx = y/(x+y) is

The particular solution of the differential equation cos ((dy)/(dx)) = a (a ne R), y = 1 when x = 0

A particular solution of dy/dx = (x+9y)^(2) when x=0, y = 1/27 is

A solution of dy/dx = (x+y)/x is

The general solution of e^x cos y dx - e^x sin y dy = 0 is :

Solution of dy/dx = (x+Y)/(x-y) is

The particular solution of y/x(dy)/(dx)=(1+y^2)/(1+x^2) , when x = 1 , y = 2 is :

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

Find the particular solution of the differential equations log ((dy)/(dx)) = 3x + 4y given that y = 0 when x = 0.

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2012-MATHEMATICS
  1. If [x] is the greatest integer function not greater than x , then int(...

    Text Solution

    |

  2. If n in N and I(n) = int (log x)^(n) dx , then I(n) + n I(n - 1) =

    Text Solution

    |

  3. Solution of e^((dy)/(dx)) = x when x = 1 and y = 0 is

    Text Solution

    |

  4. If f(x) = {{:( (x^(2) - (a + 2) x + a)/(x - 2) " , " x ne 2) , (2 " ...

    Text Solution

    |

  5. If log(2) (9^(x - 1) + 7) - log(2) (3^(x-1) + 1) = 2 , then values of ...

    Text Solution

    |

  6. If x - 1 is a factor of x^(5) - 4x^(3) +2 x^(2) - 3x + k = 0 then k is

    Text Solution

    |

  7. If A and B have n elements in common , then the number of elements com...

    Text Solution

    |

  8. The 13^(th) term in the expansion of (x^(2) + (2)/(x))^(n) is independ...

    Text Solution

    |

  9. If one of the slopes of the pair of the lines ax^(2) + 2 hxy + by^(2) ...

    Text Solution

    |

  10. If f (x) = |{:( sin x , cos x , tan x) , (x^(3) , x^(2) , x) , (2x , 1...

    Text Solution

    |

  11. The number of solutions of equation z^(2) + barz = 0 , where z in C ar...

    Text Solution

    |

  12. The least and the greatest distances of the point (10 , 7) from the ci...

    Text Solution

    |

  13. If a-= b (mod m) and x is an integer , then which of the following is ...

    Text Solution

    |

  14. Inverse of a diagonal non-singular matrix is

    Text Solution

    |

  15. If ax^(4) + bx^(3) + cx^(2) + dx + e = |{:(x^(3) + 3x , x - 1 , x+ 3) ...

    Text Solution

    |

  16. If veca , vecb and vecc are three non-coplanar vectors and vecp , vecq...

    Text Solution

    |

  17. If (veca xx vecb)^(2) + (veca * vecb)^(2) = 144 and |veca| = 4 , then ...

    Text Solution

    |

  18. Which of the following is false ?

    Text Solution

    |

  19. 2 cos^(-1) x = sin^(-1) (2x sqrt(1 - x^(2))) is valid for all values o...

    Text Solution

    |

  20. If alpha is a complex number such that alpha^(2) - alpha + 1 = 0 , the...

    Text Solution

    |