Home
Class 12
MATHS
If y(x) is the solution of the different...

If `y(x)` is the solution of the differential equation `(dy)/(dx)=-2x(y-1)` with `y(0)=1`, then `lim_(xrarroo)y(x)` equals

A

0

B

e

C

1

D

not defined

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TEST PAPER

    RESONANCE ENGLISH|Exercise CHEMISTRY|24 Videos
  • SEQUENCE & SERIES

    RESONANCE ENGLISH|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos
  • TEST PAPERS

    RESONANCE ENGLISH|Exercise MATHEMATICS|259 Videos

Similar Questions

Explore conceptually related problems

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

The solution of the differential equation x(dy)/(dx)=y-xtan(y/x) , is

The solution of the differential equation ((x+2y^3)dy)/(dx)=y is

The solution of the differential equation (dy)/(dx)=(4x+y+1)^(2) , is

The solution of the differential equation, dy/dx=(x-y)^(2) , when y(1)=1, is

The solution of the differential equation log(dy/dx)=4x-2y-2,y=1 ,where x=1 is

Solution of the differential equation (dy)/(dx)+(2y)/(x)=0 , where y(1)=1 , is

The solution of the differential equation x(dy)/(dx) + 2y = x^2 (X ne 0) with y(1) =1, is :

Solution of the differential equation (1+x)y dx+(1-y)x dy=0 is

Let y(x) is the solution of the differential equation (x+2)(dy)/(dx)-(x+1)y=2 . If y(0)=-1 , then the value of y(2) is equal to

RESONANCE ENGLISH-TEST PAPER-MATHEMATICS
  1. If f(x)= |{:(1,,x,,x+1),(2x,,x(-1),,(x+1)x),(3x(x-1),,x(x-1)(x-2),,(x+...

    Text Solution

    |

  2. Find the area bounded by the curves y=6x -x^(2) and y= x^(2)-2x

    Text Solution

    |

  3. If y(x) is the solution of the differential equation (dy)/(dx)=-2x(y-1...

    Text Solution

    |

  4. A={1, 2, 3, ..., 9}. If three numbers are selected from set A and are ...

    Text Solution

    |

  5. If alpha, beta are roots of equation x^(2)-4x-3=0 and s(n)=alpha^(n)+b...

    Text Solution

    |

  6. The mean of the data set comprising of 16 observations is 16. If one...

    Text Solution

    |

  7. Find the length of normal chord which subtends an angle of 90^0 at the...

    Text Solution

    |

  8. about to only mathematics

    Text Solution

    |

  9. If a relation R on the set N of natural numbers is defined as (x,y)hAr...

    Text Solution

    |

  10. The function f(x) = (x^(2) - 1)|x^(2) - 3x + 3|+cos (|x|) is not diffe...

    Text Solution

    |

  11. Let f(x)=1-x-x^3.Find all real values of x satisfying the inequality,...

    Text Solution

    |

  12. The equation of a curve passing through (2,7/2) and having gradient...

    Text Solution

    |

  13. Let A and B be two events such that P(A)=0.3,P(B)=0.4 and P(A^(')capB^...

    Text Solution

    |

  14. Number of identical terms in the sequence 2, 5, 8, 11, ... up to 100 t...

    Text Solution

    |

  15. Which of the following is not equivalent to (p^^~ q)->r (a) ~(q v ~ ...

    Text Solution

    |

  16. If x=1+log(a) bc, y=1+log(b) ca, z=1+log(c) ab, then (xyz)/(xy+yz+zx) ...

    Text Solution

    |

  17. If a curve is represented parametrically by the equations x=4t^(3)+3 a...

    Text Solution

    |

  18. If int (x^(2020)+x^(804)+x^(402))(2x^(1608)+5x^(402)+10)^(1//402)dx=(1...

    Text Solution

    |

  19. The slope of one of the common tangent to circle x^(2)+y^(2)=1 and ell...

    Text Solution

    |

  20. If the equation 3x^(2)+6xy+my^(2)=0 represents a pair of coincident st...

    Text Solution

    |