https://gdpark.blog/tags/differential-equations/Recent content in Differential Equations on gdpark.blogHugoenMon, 22 Jun 2015 00:00:00 +0000https://gdpark.blog/posts/classical-mechanics-03-oscillations-and-damped-harmonic-motion/Fri, 19 Jun 2015 00:00:00 +0000https://gdpark.blog/posts/classical-mechanics-03-oscillations-and-damped-harmonic-motion/Zoom in on literally any potential with a Taylor expansion and BAM — it’s a spring, which is why oscillations pop up absolutely everywhere in physics.https://gdpark.blog/posts/classical-mechanics-04-forced-harmonic-oscillation-and-resonance/Sat, 20 Jun 2015 00:00:00 +0000https://gdpark.blog/posts/classical-mechanics-04-forced-harmonic-oscillation-and-resonance/What happens when the driving frequency hits just right? We work through forced harmonic oscillation — no damping first, then with resistance — to see why resonance is so wild.https://gdpark.blog/posts/classical-mechanics-05-2d-and-3d-isotropic-harmonic-oscillators-and-lissajous-figur/Mon, 22 Jun 2015 00:00:00 +0000https://gdpark.blog/posts/classical-mechanics-05-2d-and-3d-isotropic-harmonic-oscillators-and-lissajous-figur/Jumping into the 2D/3D isotropic harmonic oscillator, separating equations of motion and eliminating t to uncover the elliptical paths and Lissajous figures hiding inside!