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Mathematical methods II course of the University of Oxford

Past exam of the mathematical methods II course of the University of Oxford

2013

The terms $u_{tt}$ and $c^2u_{xx}$ must have the same dimensions. Likewise $au$ must match $u_{tt}$. Thus
$$
\boxed{[c]=\mathrm{length}/\mathrm{time},\qquad[a]=\mathrm{time}^{-2}.}
$$
Only $c^2$ occurs in the equation, so its characteristic speed is $|c|$ when $c\ne0$.


Solution

Past exam of the mathematical methods II course of the University of Oxford / 2013 / 10 / a / Solution

Past exam of the mathematical methods II course of the University of Oxford / 2013 / 10 / a / Solution

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Past exam of the mathematical methods II course of the University of Oxford / 2013 / 10 / a / Solution

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