c. 2x e²/dy - 3y dx = 0 (Leave as antiderivatives only.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter5: Graphs And The Derivative
Section5.2: Relative Extrema
Problem 38E
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Exercise 24 Show that the following FODEs are scale-invariant, identify n, ƒ (v), and solve them:
a. 2x dy + (x² - 3y) dx = 0;
b. xy² (y dx - x dy) — (2y dx + x dy) = 0;
c. 2x ey²/dy - 3y dx = 0
(Leave as antiderivatives only.)
Transcribed Image Text:Exercise 24 Show that the following FODEs are scale-invariant, identify n, ƒ (v), and solve them: a. 2x dy + (x² - 3y) dx = 0; b. xy² (y dx - x dy) — (2y dx + x dy) = 0; c. 2x ey²/dy - 3y dx = 0 (Leave as antiderivatives only.)
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