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3.3: Лінійні рівняння
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З\(p(x) = 2\) і\(g(x) = e^{−x}\), у нас\[\begin{aligned}\mu(x)&=\exp\left(\int_0^x 2dx\right) \\ &=e^{2x},\end{aligned}\] і\[\begin{aligned}y&=e^{-2x}\left(\frac{3}{4}+\int_0^x e^{2x}e^{-x}dx\right) \...З\(p(x) = 2\) і\(g(x) = e^{−x}\), у нас\[\begin{aligned}\mu(x)&=\exp\left(\int_0^x 2dx\right) \\ &=e^{2x},\end{aligned}\] і\[\begin{aligned}y&=e^{-2x}\left(\frac{3}{4}+\int_0^x e^{2x}e^{-x}dx\right) \\ &=e^{-2x}\left(\frac{3}{4}+\int_0^x e^xdx\right) \\ &=e^{-2x}\left(\frac{3}{4}+(e^x-1)\right) \\ &=e^{-2x}\left(e^x-\frac{1}{4}\right) \\ &=e^{-x}\left(1-\frac{1}{4}e^{-x}\right).\end{aligned}\]