Linear Differential Equation (First Order)

Rarely Tested

Standard form: $$\frac{dy}{dx} + P(x)y = Q(x)$$
Integrating Factor (IF): $$e^{\int P(x) \, dx}$$
Solution: $$y \cdot \mathrm{IF} = \int Q(x) \cdot \mathrm{IF} \, dx + C$$
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