Integrating Factor on Chen Kai Bloghttps://www.chenk.top/en/tags/integrating-factor/Recent content in Integrating Factor on Chen Kai BlogHugoenTue, 18 Jul 2023 09:00:00 +0000Ordinary Differential Equations (2): First-Order Methodshttps://www.chenk.top/en/ode/02-first-order-methods/Tue, 18 Jul 2023 09:00:00 +0000https://www.chenk.top/en/ode/02-first-order-methods/<p>A bank account, a drug clearing the bloodstream, a tank of brine, a charging capacitor — they all obey the same kind of equation: a first-order ODE. The trick is recognising which of four shapes you are looking at, because each shape has a closed-form move that solves it cleanly. By the end of this chapter you will pattern-match an unfamiliar first-order equation in seconds and know exactly which lever to pull.</p>