x = psin cos 0, y = p sin osin 0, z = p cos o. Find the 3 × 3 matrix J of partial derivatives where მე მე მp მდ is the first row. The other rows are obtained by switching from x to y and z. Compute det J. Then dV in spherical coordinates is | det J dpdøde, the volume of an infinitesimal coordinate box.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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x = psin cos 0,
y = p sin osin 0,
z = p cos o.
Find the 3 × 3 matrix J of partial derivatives where
მე მე
მp მდ
is the first row. The other
rows are obtained by switching from x to y and z. Compute det J. Then dV in spherical
coordinates is | det J dpdøde, the volume of an infinitesimal coordinate box.
Transcribed Image Text:x = psin cos 0, y = p sin osin 0, z = p cos o. Find the 3 × 3 matrix J of partial derivatives where მე მე მp მდ is the first row. The other rows are obtained by switching from x to y and z. Compute det J. Then dV in spherical coordinates is | det J dpdøde, the volume of an infinitesimal coordinate box.
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