Which of the following is the general solution of the separable equation, dy/dx = 12x³y? A. y = e3x⁴+C B. y = 2 ln |3x⁴| + C C. ln |y| = 3x⁴ + C D. y = C e3x⁴

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Which of the following is the general solution of the separable equation, dy/dx = 12x³y?

A. y = e3x⁴+C

B. y = 2 ln |3x⁴| + C

C. ln |y| = 3x⁴ + C

D. y = C e3x⁴

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