What is the particular solution of $\dfrac{dy}{dx} = \dfrac{6}{1-6x}$ that satisfies $y(0) = 0$?

Core Concept

The integral of $\dfrac{6}{1-6x}$ is $-\ln|1-6x| + C$, and $y(0) = -\ln 1 + C = C = 0$, so $C = 0$.