# Math Insight

### Simple linear differential equation questions

Name:
Group members:
Section:
1. What is the solution to the following dynamical system? \begin{align*} v'(t) &= -7.4 v\\ v(0) &= -4.3 \end{align*} $v(t) =$

2. Consider the differential equation \begin{align*} \diff{ y }{ t } &= 8 y. \end{align*}
1. What is the general solution? (Use $C$ for any arbitrary constant.)
$y(t) =$
2. What is the specific solution for the initial condition $y(0) = 4.2$?
$y(t) =$

3. Find the general solution to the differential equation \begin{align*} u'(t) &= 6.7 u. \end{align*} Use $C$ for any arbitrary constant.
$u(t) =$