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in a separation of variables problem you find that makes sense. What can you conclude? A' (t) A(t) y'(x) for all and t where this T A. The function A'(t)/A(t) must be constant but not necessarily the function y(x)/y(x). B. The function "(z)/y(z) must be constant but not necessarily the function A'(t)/A(t). C. Both A'(t)/A(t) and y'(r)/y(r) must be constant but not necessarily the same constant. D. Both A'(t)/A(t) and y"(x)/y(r) must be constant and equal to the same constant.

in a separation of variables problem you find that makes sense. What can you conclude? A' (t) A(t) y'(x) for all and t where this T A. The function A'(t)/A(t) must be constant but not necessarily the function y(x)/y(x). B. The function "(z)/y(z) must be constant but not necessarily the function A'(t)/A(t). C. Both A'(t)/A(t) and y'(r)/y(r) must be constant but not necessarily the same constant. D. Both A'(t)/A(t) and y"(x)/y(r) must be constant and equal to the same constant.

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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In a separation of variables problem you find that makes sense. What can you conclude? A' (t) A(t) for all r and t where this A. The function A'(t)/A(t) must be constant but not necessarily the function y"(x)/y(x). B. The function y(x)/(x) must be constant but not necessarily the function A'(t)/A(t). C. Both A'(t)/A(t) and y" (2)/y(x) must be constant but not necessarily the same constant. D. Both A'(t)/A(t) and y"(x)/y(x) must be constant and equal to the same constant.
Transcribed Image Text:In a separation of variables problem you find that makes sense. What can you conclude? A' (t) A(t) for all r and t where this A. The function A'(t)/A(t) must be constant but not necessarily the function y"(x)/y(x). B. The function y(x)/(x) must be constant but not necessarily the function A'(t)/A(t). C. Both A'(t)/A(t) and y" (2)/y(x) must be constant but not necessarily the same constant. D. Both A'(t)/A(t) and y"(x)/y(x) must be constant and equal to the same constant.
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