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phase-plane-analysis

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Differential-Equations

This repository contains my lecture notes and solved exercises from MIT 18.03: Differential Equations (Spring 2010) and the textbook Elementary Differential Equations (6th Edition) by Edwards & Penney. Differential equations are essential for Linear Systems Theory, Control Systems, and Dynamical System Modeling in Robotics and Engineering.

  • Updated Mar 17, 2025
scuba_siltout_reduced

This repository provides the analysis code that derives, from a reduced planar dynamical system, the ignition threshold, safe operating envelope, and full numerical verification for diver-induced cohesive silt-out on a sloping bed.

  • Updated Aug 22, 2026
  • Python

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