a question on differential

2009-12-03 4:52 am
given x = r * cos, y = r * sin,

can you show that dx * dy = r * dr * d ?

回答 (2)

2009-12-03 5:21 am
✔ 最佳答案
x=rcosθ,y=rsinθ

dx=cosθdr-rsinθdθ
dy=sinθdr+rcosθdθ

dxdy=
|cosθ -rsinθ| * drdθ
|sinθ rcosθ|
=rdrdθ
2009-12-03 5:23 am
Jacobian


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