Consider the ODE Using the substitution u = y4, the ODE can be written as (give your answer in terms of u and x only). du dx = dy dx = = 2 coth(7x) y³ – x³y, x>0, y>0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 18E
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Consider the ODE
Using the substitution u = y4, the ODE can be written as
(give your answer in terms of u and x only).
du
dx
=
dy
dx
=
2 coth(7x) y - x³y,
x>0, y>0.
Transcribed Image Text:Consider the ODE Using the substitution u = y4, the ODE can be written as (give your answer in terms of u and x only). du dx = dy dx = 2 coth(7x) y - x³y, x>0, y>0.
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