The general solution of the 1st-order ODE, (x + 3y - 2)y' = e=3(x+3y-2)² - y - 1/3(x - 2) is

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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The general solution of the 1st-order ODE, (x + 3y - 2)y' = e-3(x+3y-2)² - y - 1/3(x - 2) is
Select one:
O a. y(x) = ln(3x + C) - 2
○ b. y(x) = [ln(6x + C) + (2 − x)] /3
-
O c. y(x) = 3 [+ln(18(x + C)) + (2 − x)√3]
y(x) = [In(6x + C) ± (2-x)] /3
O d.
Transcribed Image Text:The general solution of the 1st-order ODE, (x + 3y - 2)y' = e-3(x+3y-2)² - y - 1/3(x - 2) is Select one: O a. y(x) = ln(3x + C) - 2 ○ b. y(x) = [ln(6x + C) + (2 − x)] /3 - O c. y(x) = 3 [+ln(18(x + C)) + (2 − x)√3] y(x) = [In(6x + C) ± (2-x)] /3 O d.
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