4. Explain how to convert 2² 2² 2² dz2' 7²= + дх2 ' дуг in the Cartesian coordinates system to + 10 1 0² 7²= -18 (1²) +²31 030 (sin 0 ) + ² sin² 000²- (r²2/1). r² ər sin ᎧᎾ in the spherical polar coordinates system.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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4. Explain how to convert
in the Cartesian coordinates system to
10
0²- = 7/2007 (²²07) +
=(
r² ər
a
მ2 2² 2²
+
dx2 Т дуг' dz2'
7²= +
عاد
1
1
მ
Ә
r² sin 0 20
in the spherical polar coordinates system.
sin 0
ə
дө.
+
1
მ2
r² sin² 0 0²¹
Transcribed Image Text:4. Explain how to convert in the Cartesian coordinates system to 10 0²- = 7/2007 (²²07) + =( r² ər a მ2 2² 2² + dx2 Т дуг' dz2' 7²= + عاد 1 1 მ Ә r² sin 0 20 in the spherical polar coordinates system. sin 0 ə дө. + 1 მ2 r² sin² 0 0²¹
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