?

Free Version
Easy

# Given the Differential Equation with an Initial Condition

APCALC-3F3Z@B

If $\cfrac { dy }{ dt } =-4y$ and if $y=1$ when $t=0$, what is the value of $t$ for which $y=\cfrac { 1 }{ 2 }$?

A

$\cfrac { \ln { 2 } }{ 4 }$

B

$-\cfrac { \ln { 4 } }{ 2 }$

C

$-\cfrac { 1 }{ 4 }$

D

$-\cfrac { \ln { 2 } }{ 4 }$