6) A spherical wave is a solution of the three-dimensional wave equation of the form u(r, t), where r is the distance to the origin (the spherical coordinate). The wave equation takes the azu form at2 2 ди spherical wave equation. Change the variables v = ru to get the r dr a2v following PDE for v: at2

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6) A spherical wave is a solution of the three-dimensional wave equation of the form u(r, t),
where r is the distance to the origin (the spherical coordinate). The wave equation takes the
a?u
= c
at2
2 ди
form
spherical wave equation. Change the variables v = ru to get the
r dr
ar2
a?v
following PDE for v:
at2
= c2
Transcribed Image Text:6) A spherical wave is a solution of the three-dimensional wave equation of the form u(r, t), where r is the distance to the origin (the spherical coordinate). The wave equation takes the a?u = c at2 2 ди form spherical wave equation. Change the variables v = ru to get the r dr ar2 a?v following PDE for v: at2 = c2
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