A thin plate of constant density covers the region bounded by the​ ellipse, described by the equation​ below, in the​ xy-plane. Find the second moment of the plate about the origin.​ (Hint: Use the transformation x=arcosθ​, y=brsinθ​.)   x2a2+y2b2=​1, a>​0, b>0

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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A thin plate of constant density covers the region bounded by the​ ellipse, described by the equation​ below, in the​ xy-plane. Find the second moment of the plate about the origin.​ (Hint: Use the transformation
x=arcosθ​,
y=brsinθ​.)
 
x2a2+y2b2=​1,
a>​0,
b>0
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