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Let v=y dv = (1-n) y' BERNOULLI'S EQUATION: (1-1) yn dy dy dx + P(x)y in so, dividing both sudes by `yn': dy It yn dv = (1-n) y^ dy du + P(7)y yn |-n Oltyn dy +PGx) V = QG) dv now reduced to a lenear fom kp

Let v=y dv = (1-n) y' BERNOULLI'S EQUATION: (1-1) yn dy dy dx + P(x)y in so, dividing both sudes by `yn': dy It yn dv = (1-n) y^ dy du + P(7)y yn |-n Oltyn dy +PGx) V = QG) dv now reduced to a lenear fom kp

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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I need an explanation of this process. Especially like why do we need to divide both sides by y^n. Thank you.

 

Let v=yn dv = (1-n) y'-s (1-n) y-n dy BERNOULLI'S EQUATION: |-n-| dy ミ %3D + PC3)y dividing both sudes by `yn': 'yn?. dy = (1n) y^ dy du =y" dy dy ( to) + P(a)y yn %3D yn T-n y" dy dv +PGx) V = QG) now reduced to a leaiar fom
Transcribed Image Text:Let v=yn dv = (1-n) y'-s (1-n) y-n dy BERNOULLI'S EQUATION: |-n-| dy ミ %3D + PC3)y dividing both sudes by `yn': 'yn?. dy = (1n) y^ dy du =y" dy dy ( to) + P(a)y yn %3D yn T-n y" dy dv +PGx) V = QG) now reduced to a leaiar fom
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