Math Insight

Simple linear differential equations practice

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  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.
    $u(t) =$

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Math 201, Spring 2017