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_(x rarr oo) y(x)` equals

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

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

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

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 (dy)/(dx)=(4x+y+1)^(2) , is

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

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The number of roots of the equation (log)(3sqrt("x"))x+(log)(3x)sqrt(x...

    Text Solution

    |

  2. For each positive integer n , let f(n+1)=n(-1)^(n+1)-2f(n) and f(1)=(2...

    Text Solution

    |

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

    Text Solution

    |

  4. If alpha and beta are the roots of the quadratic equation x^(2) - 4...

    Text Solution

    |

  5. Let f (x) =x^(2), lamda x+ mu cos x, lamda being an integer and mu us ...

    Text Solution

    |

  6. Value of lambda for which(lambda,lambda^2) lies between the lines |x+2...

    Text Solution

    |

  7. Solve for x :5^(logx)+5x^(log5)=3(a >0); where base oflog\ is a

    Text Solution

    |

  8. A parabola is drawn whose focus is one of the foci of the ellipse x^2...

    Text Solution

    |

  9. Let C(1) and C(2) are circles defined by x^(2) + y^(2) - 20x + 64 = 0 ...

    Text Solution

    |

  10. The number solution of the equation sgn(x^2)=|x-2| is (a)1 (b) 0 ...

    Text Solution

    |

  11. If alpha,beta are the roots of the equation, x^2-2x+3=0, find the e...

    Text Solution

    |

  12. The function f(x)={(1-2x+3-4x^(3)+…oo,|x|lt1),(1,x=-1):}

    Text Solution

    |

  13. Let f:RtoR be a differentiable function such that f(x)=x^(2)+int(0)^(x...

    Text Solution

    |

  14. If (x1, y1)&(x2, y2) are the solutions of the equaltions, (log)(225)(x...

    Text Solution

    |

  15. Investigate for the maxima and minima of the function f(x)=int1^x[2(t...

    Text Solution

    |

  16. The solution of the equation 7^(logx)-5^(logx+1)=3. 5^(logx-1)-13. 7^(...

    Text Solution

    |

  17. int0^1(e^x dx)/(1+e^x)

    Text Solution

    |

  18. Find the equation of the curve in which the perpendicular from the ori...

    Text Solution

    |

  19. If the difference of the roots of the question ,x^(2)+px+q=0"be unity,...

    Text Solution

    |

  20. int e^(sin^(-1)x)((log(e)x)/(sqrt(1-x^(2)))+(1)/(x))dx is equal to

    Text Solution

    |