Word Count : 179

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Consider the differential equation (\frac{dy}{dx} = y) with the initial condition (y(0) = 0). The equation is separable. Writing it as (\frac{dy}{dx} = y), we have [ \frac{dy}{y} = dx, \quad y \neq 0. ] Integrating both sides gives [ \ln|y| = x + ___ _________ ______ _______ _________ _____ _______ _____ ______ ____.
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