Home
Class 12
MATHS
If (dy)/(dx)=y+3 and y(0)=2, then y(ln 2...

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

A

7

B

5

C

13

D

-2

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    MOTION|Exercise Exercise 3|52 Videos
  • DIFFERENTIABILITY

    MOTION|Exercise Exercise - 4 | Level-I Previous Year | JEE Main|15 Videos
  • ELLIPSE

    MOTION|Exercise Exercise - 4 | Level-I Previous Year | JEE Main|20 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>0"and"y(0)=2, t h e n""y(ln2) is equal to : (1) 7 (2) 5 (3) 13 (4) -2

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

If : (dy)/(dx)=(y+3)gt0 and y(0)=2, then : y(-log2)=

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

ln(dy/dx)=3x+4y and y(0)=0 . then find y(-2/3ln2)

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

MOTION-DIFFERENTIAL EQUATION -Exercise 4
  1. The solution of differential equation cos x dy = y (sin x - y ) dx,...

    Text Solution

    |

  2. Let I be the purchase value of an equipment and V(t) be the value afte...

    Text Solution

    |

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

    Text Solution

    |

  4. The population p(t) at time t of a certain mouse species satisfies the...

    Text Solution

    |

  5. At present, a firm is manufacturing 2000 items. It is estimated tha...

    Text Solution

    |

  6. The angle between the lines whose direction cosines satisfy the equ...

    Text Solution

    |

  7. Let the population of rabbits surviving at a time t be governed by ...

    Text Solution

    |

  8. Let y(x) be the solution of the differential equation (xlogx)(dy)/(dx)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. Let y=g(x) be the solution of the differential equation sin (dy)/(dx...

    Text Solution

    |

  12. Let f(x) be differentiable on the interval (0,oo) such that f(1)=1 and...

    Text Solution

    |

  13. The differential equation (dy)/(dx)=(sqrt(1-y^2))/y determines a fa...

    Text Solution

    |

  14. Let a solution y = y(x) of the differential equation xsqrt(x^2-1) dy -...

    Text Solution

    |

  15. Let y^(prime)(x)+y(x)g^(prime)(x)=g(x)g^(prime)(x),y(0),x in R , wher...

    Text Solution

    |

  16. If. y (x) satisfies the differential equation y' – y tan x = 2x sec x ...

    Text Solution

    |

  17. A curve passes through the point (1,pi/6) . Let the slope of the curve...

    Text Solution

    |

  18. Let f[0, 1] -> R (the set of all real numbers be a function.Suppose t...

    Text Solution

    |

  19. Let f:[0,1]rarrR (the set of all real numbers) be a function. Suppose ...

    Text Solution

    |

  20. The function y = f(x) is the solution of the differential equation dy/...

    Text Solution

    |