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If (x, y) and (X, Y) are the coordinates of the same point referred to two sets of rectangular axes with the same origin and if ux + vy, where u and v are independent of x and y, becomes VX+UY, show that u²+² = U² + 1².

If (x, y) and (X, Y) are the coordinates of the same point referred to two sets of rectangular axes with the same origin and if ux + vy, where u and v are independent of x and y, becomes VX+UY, show that u²+² = U² + 1².

Advanced Engineering Mathematics
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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If (x, y) and (X, Y) are the coordinates of the same point referred to two sets of rectangular axes with the same origin and if ux + vy, where u and v are independent of x and y, becomes VX+UY, show that u² + ² = U² + 1². 2
Transcribed Image Text:If (x, y) and (X, Y) are the coordinates of the same point referred to two sets of rectangular axes with the same origin and if ux + vy, where u and v are independent of x and y, becomes VX+UY, show that u² + ² = U² + 1². 2
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