We can rewrite the equation as:
$$\frac{d^2y}{dx^2} = 16y\frac{dy}{dx}$$
Let's make a substitution: $v = \frac{dy}{dx}$. Then, $\frac{dv}{dx} = \frac{d^2y}{dx^2}$. So, we have:
$$\frac{dv}{dx} = 16yv$$
Now, we can separate the variables:
$$\frac{dv}{v} =
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