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

(a) `5`

B

(b) `5/4`

C

(c) `0`

D

(d) `-5`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

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

If x^(y)=e^(x-y) , then (dy)/(dx) is equal to

Q. if y=log_10 x , then dy/dx is equal to -

If x^(y) = e^(2(x-y)), "then" (dy)/(dx) is equal to

If x dy =y (dx+y dy), y(1) =1 and y(x)gt 0 . Then, y (-3) is epual to

Let y(x) be the solution of the differential equation ( x log x) (dy)/(dx) + y = 2x log x, ( x gt 1). then y (e) is equal to :

If 2y=sin^-1(x+5y),then,(dy)/(dx) is equal to

If y=log (log x) then (d^2y)/(dx^2) is equal to

If y = x^(log x) , then (dy)/(dx) equals

If xy=1+ log y and k (dy)/(dx)+y^2=0 , then k is