Q6. Using u = dy, the second order ODE: ²-yd = 2(x) dx dx is reduced to the following first order ODE: du A) - y = 2u² dy B) +yu = 2u² - y = 2u³ -yu = 2u³ +yu = 2u³ D) E) du dy - dy

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 21E
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3
d²y
Q6. Using u = the second order ODE: ² - ydz = 2(dx) ³
>
dx
dx²
dx
is reduced to the following first order ODE:
du
A)
- y = 2u²
+yu = 2u²
- y = 2u³
- yu = 2u³
+yu = 2u³
B)
D)
E)
du
du
dy
Transcribed Image Text:3 d²y Q6. Using u = the second order ODE: ² - ydz = 2(dx) ³ > dx dx² dx is reduced to the following first order ODE: du A) - y = 2u² +yu = 2u² - y = 2u³ - yu = 2u³ +yu = 2u³ B) D) E) du du dy
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