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Single Variable Calculus

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Separable Differential Equation Involving Logarithms

SVCALC-BVNQNR

Solve the following differential equation:

$$ \frac{dy}{dx}=3 x^2 y$$

Select ALL solutions that apply.

A

$ \ln|y| = x^3 + C$

B

$y^{-1} = x^3 + C$

C

$ y = A e^{x^3}$

D

$ y =\pm e^Ce^{x^3}$