Home
Class 12
MATHS
Let y=f(x) is a solution of differential...

Let y=f(x) is a solution of differential equation `e^(y)((dy)/(dx)-1)=e^(x)` and f(0)=0 then f(1) is equal to

A

`1//3`

B

`3//2`

C

`2//3`

D

`4//3`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • JEE (Main) 2020 QUESTIONS WITH SOLUTION B.ARCH (6TH JAN-AFTERNOON

    MCGROW HILL PUBLICATION|Exercise Multiple Choice Questions|25 Videos
  • LIMITS AND CONTINUITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Paper|12 Videos

Similar Questions

Explore conceptually related problems

Solution of the differential equation (x-y)(1-(dy)/(dx))=e^(x) is

If y = f (x) is the solution of difierential equation. e ^(y) ((dy)/(dx )-2)=e ^(3x) such that f(0) =0, then f (2) is equal to :

The solution of the differential equation e^(x)dx+e^(y)dy=0 is

The solution of the differential equation e^(x)dx+e^(y)dy=0 is

If y=f(x) is the solution of differential equation (dy)/(dx)+(4x^(3))/(1+x^(4))y=x ,then f(x)=

If y=f(x) satisfy differential equation ( dy )/(dx)-y=e^(x) with f(0)=1 then value of f'(0) is

MCGROW HILL PUBLICATION-JEE (MAIN) QUESTIONS WITH SOLUTIONS MATHEMATICS (7 TH JAN-MORNING )-QUESTIONS
  1. If distance between the foci of an ellipse is 6 and distance between i...

    Text Solution

    |

  2. The logical statement (p to q) vv (q to ~ p) is :

    Text Solution

    |

  3. Find the greatest value of k for which 49^(k)+1 is a factor of 1+49+49...

    Text Solution

    |

  4. The vector vec a=""alpha hat i+2 hat j+""beta hat k lies in the pl...

    Text Solution

    |

  5. "If "y=sqrt((2(tanalpha+cotalpha))/(1+tan^(2)alpha)+(1)/(sin^(2)alpha)...

    Text Solution

    |

  6. If y=mx+4 is a tangent to both the parabolas, y^(2)=4x and x^(2)=2by, ...

    Text Solution

    |

  7. Let alpha be a root of the equation x ^(2) + x + 1 = ...

    Text Solution

    |

  8. If g(x)=x^(2)+x+x-1 and g(f(x))=4x^(2)-10x+5 then find f((5)/(4))

    Text Solution

    |

  9. If alpha and beta are the roots of equation (k+1) tan^(2)x-sqrt2lambda...

    Text Solution

    |

  10. Let P be a plane passing through the points (2,1,0) (4,1,1) and (5,0,1...

    Text Solution

    |

  11. Let y=f(x) is a solution of differential equation e^(y)((dy)/(dx)-1)=e...

    Text Solution

    |

  12. Let the function, f:[-7,0]toR be continuous on [-7,0] and differentiab...

    Text Solution

    |

  13. Let y=f(x) is a solution of differential equation e^(y)((dy)/(dx)-1)=e...

    Text Solution

    |

  14. Five numbers are in A.P., whose sum is 25 and product is 2520. If one ...

    Text Solution

    |

  15. If the system of linear equations 2x+2ay+az=0 2x+3by+bz=0 2x+4cy...

    Text Solution

    |

  16. lim ( x to 2 ) ( 3 ^(x) + 3 ^( 3 - x ) - 12 ) /( 3 ...

    Text Solution

    |

  17. If the variance of the first n natural numbers is 10 and the variance ...

    Text Solution

    |

  18. If sum of all the coefficient of even powers in (1-x+x^(2)-x^(3)....x^...

    Text Solution

    |

  19. If f(x)=|2-|x-3|| is non differentiable in X in S. Then value of unde...

    Text Solution

    |

  20. Let A ( 1, 0 ) , B ( 6, 2 ) and C (( 3 ) /(2), 6 ) be t...

    Text Solution

    |