Home
Class 12
MATHS
If "dy"/"dx"=1-y and y(0)=3, then y(loge...

If `"dy"/"dx"=1-y` and y(0)=3, then `y(log_e 8)` is equal to

A

5

B

`5//4`

C

0

D

`-5`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise CRITICAL THINKING|99 Videos

  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise EVALUATIO TEST|30 Videos

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|30 Videos

Similar Questions

Explore conceptually related problems

If (dy)/(dx)=y+3 and y(0)=2, then y(log2) is equal to

If (dy)/(dx)=y+3 and y(0)=2 , then y(ln 2) is equal to

If ((2+cosx)/(3+y))(dy)/(dx)+sinx=0 and y(0)=1 , then y((pi)/(3)) is equal to

If dy/dx=(y+1)[(y+1)e^(x^2/2)-x] , y(0)=2 then y'(1) is equal to

IF y = y (x) is the solution of the differential equation, x (dy)/(dx) = y (log_(e) y - log_(e) x + 1) , when y(1) = 2, then y(2) is equal to _______

If x^(3) dy + xy dx = x^(2) dy + 2y dx , y (2) = e and x gt 1 , then y(4) is equal to .

TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -COMPETITIVE THINKING
  1. Find the particular solution of the differential equation log(dy)/(...

    Text Solution

    |

  2. If (dy)/(dx)=y+3 and y(0)=2, then y(ln 2) is equal to

    Text Solution

    |

  3. If "dy"/"dx"=1-y and y(0)=3, then y(loge 8) is equal to

    Text Solution

    |

  4. The particular solution of the differential equation y(1+log x...

    Text Solution

    |

  5. Solution of the differential equation sin((dy)/(dx))=a with y(0)=1 is

    Text Solution

    |

  6. if y=y(x) and (2+sinx)/(y+1)((dy)/(dx))=-cosx ,y(0)=1, then y(pi/2)= ...

    Text Solution

    |

  7. If a curve y=f(x) passes through the point (1,-1) and satisfies the di...

    Text Solution

    |

  8. If a curve y=f(x) passes through the point (1,-1) and satisfies the di...

    Text Solution

    |

  9. At any point on a curve , the slope of the tangent is equal to the sum...

    Text Solution

    |

  10. The general solution of the D.E. (dy)/(dx)=(x+y+1)/(x+y-1) is :

    Text Solution

    |

  11. solution of (x + y)^2(dy)/(dx)=a^2. ('a', being a constant) is

    Text Solution

    |

  12. Solution of the differential equation (x+y-1)dx+(2x+2y-3)dy=0 is

    Text Solution

    |

  13. The solution of the differential equation (dy)/(dx) = (x-2y+1)/(2x...

    Text Solution

    |

  14. The solution of the differential equation (2x-4y+3)(dy)/(dx)+(x-2y+1)...

    Text Solution

    |

  15. The solution of cos(x + y) dy = dx is

    Text Solution

    |

  16. The general solution of differential equation (dx) /( dy) = co...

    Text Solution

    |

  17. The solution of the differential equation (dy)/(dx)="tan"((y)/(x))+(y)...

    Text Solution

    |

  18. The solution of the equation (dy)/(dx)=(x+y)/(x-y), is

    Text Solution

    |

  19. Show that the differential equation (dy)/(dx) = y^2/ (xy - x^2) is ho...

    Text Solution

    |

  20. The general solution of the differential equation (x^2+xy)y'=y^2 is

    Text Solution

    |