Suppose that n 0 and n 1. Show that the substitution v = y 1-n

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Suppose that n ≠ 0 and n ≠ 1. Show that the substitution v = y^1-n transforms the Bernoulli equation dy/dx + P(x)y = Q(x)yⁿ into the linear equation.

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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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Question Posted: Jul 01, 2023 01:53 AM

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Suppose that n 0 and n 1. Show that the substitution v = y 1-n

Question:

dv dx +(1-n)P(x)v(x)=(1-n)Q(x).

Step by Step Answer:

The proposed substitution vy implies that y and thus ...View the full answer

Differential Equations And Linear Algebra

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