Math — Differential Equations
Linear first-order, exponential growth and the auxiliary equation.
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\frac{dy}{dx} + P(x)y = Q(x)
\mu = e^{\int P\,dx}
y = Ce^{kx} \;\;\text{for } y' = ky
ay'' + by' + cy = 0 \Rightarrow am^2 + bm + c = 0