Answered: x°dxdy 5/2 (x² + y*)8/2 y 36

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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topic: change of coordinate system

show graph and step by step process. prove the given correct answer

x'dxdy
5/2
1
(x² + y*)%/2
25/2
y (x +
36
IT
C e*
dydx = (e-1)
4
y°dxdy
(x² + y²)³/2
12
y
2

System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

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