Solve the following initial value problem for $ras$ a function $oft.$

Differential equation:

$r(0)=3i-7j+kr(t)=(,)i+(,)j+(,)k\frac{dr}{dt}=(tant)i+(cos(\frac{1}{5}t))j-(sec2t)k,-\frac{}{4}$

Initial condition:

$r(0)=3i-7j+k$

$r(t)=(,)i+(,)j+(,)k$

$(Use$ parentheses $to$ clearly denote the argument $of$ each function.$)$