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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.5: Derivatives Of Logarithmic Functions
Problem 47E
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The general solution of the 1st-order ODE,
-3(x+3y-2)²
(x + 3y - 2)y' =
=
is
O a.
○ b.
y(x) = ln(3x + C) − 2
y(x) =
²- y - 1/3(x - 2)
ln(6x + C) + (2 −
1
O c.
3√3 [±ln(18(x + C)) -
○ d. y(x) = [ln(6x + C) ± (2 −
y(x):
=
Transcribed Image Text:The general solution of the 1st-order ODE, -3(x+3y-2)² (x + 3y - 2)y' = = is O a. ○ b. y(x) = ln(3x + C) − 2 y(x) = ²- y - 1/3(x - 2) ln(6x + C) + (2 − 1 O c. 3√3 [±ln(18(x + C)) - ○ d. y(x) = [ln(6x + C) ± (2 − y(x): =
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