||'''Book'''|| Advanced Engineering Mathematics ||
 ||'''Author'''|| Erwin Kreyszig ||
 ||'''Edition'''|| 8th Edition ||

/* code_begins */

{{{
{{{id=1|
t = var('t')

yo = var('yo')

k = var('k')

y(t) = yo*e^(k*t)

#where k is as a constant

y(5730) = 0.5*yo

log(0.5, e) = 5730*k 

#=>

k = log(0.5, e)/5730 = 	
-0.693147180559945 / 5730

print k
///
k
}}}

{{{id=2|
k = -0.693147180559945 / 5730
print k
///
-0.000120968094338559
}}}

{{{id=3|
# no y(3000)/yo = 
exp(k*3000)
///
0.695653016121338
}}}

{{{id=4|
#y(3000) = 0.69*yo
# which is 69% of the initial content
///
}}}
}}}

/* code_ends */

 * '''Solution by''': 
   * gnash, developer, space
   * bhanukiran, student, technical university of Delft
   * saransh, student, sobhit university
   * ujwala, lecturer, aurangabad