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Simple linear differential equations practice
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Find the general solution to the differential equation \begin{align*} u'(t) &= 6.7 u. \end{align*} Use $C$ for any arbitrary constant.
$u(t) =$
Consider the differential equation \begin{align*} \diff{ y }{ t } &= 8 y. \end{align*}
What is the general solution? (Use $C$ for any arbitrary constant.)
$y(t) = $
What is the specific solution for the initial condition $y(0) = 4.2$?
$y(t) = $
What is the solution to the following dynamical system? \begin{align*} v'(t) &= -7.4 v\\ v(0) &= -4.3 \end{align*} $v(t) =$
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Math 201, Spring 2017
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Review questions: Single autonomous differential equation problems
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Review questions: Bifurcation of single differential equation practice