Tag: #ode
Writing on GPUs, LLMs, MLOps, Kubernetes — and mindset · 10 posts
Engineering Math Series 8: Series Solutions and Ordinary Points
Learn why power series solutions are needed when closed-form solutions are not readily available, what an ordinary point is, and the basic expansion process.
2026-03-19 · 3 min read #engineering-math#ode#series-solutions#power-series#2026-03Engineering Math Series 5: Damping, Forced Oscillation, and Resonance
Understand damping, forced oscillation, and the meaning of resonance intuitively through the mass-spring-damper model, and learn how to read engineering system responses.
2026-03-19 · 4 min read #engineering-math#ode#forced-oscillation#resonance#2026-03Engineering Math Series 2: Concepts of First-Order ODEs
Explains what a first-order differential equation is, what it means to deal with rates of change, and what it actually means to find a solution, all at the introductory level.
2026-03-19 · 4 min read #engineering-math#ode#differential-equations#modeling#2026-03Engineering Math Series 10: Solving ODEs with the Laplace Transform
Explains the typical procedure for algebraically solving initial value problems using the Laplace transform of derivatives, with worked examples.
2026-03-19 · 3 min read #engineering-math#laplace-transform#initial-value-problem#ode#2026-03Engineering Math Series 7: Systems of Differential Equations and State Space
Express systems where multiple variables move simultaneously as systems of differential equations, and build the foundations for reading them through matrices and the state-space perspective.
2026-03-19 · 3 min read #engineering-math#ode#systems-of-odes#state-space#2026-03Engineering Math Series 4: Second-Order Linear ODEs
Understand the standard form, characteristic equation, and three basic solution types of second-order linear ODEs, and connect them to the natural response of engineering systems.
2026-03-19 · 3 min read #engineering-math#ode#second-order-ode#vibration#2026-03Engineering Math Series 9: Intuition Behind the Laplace Transform
Explains intuitively why the Laplace transform turns differential equations into algebraic problems, and the difference between the time domain and the s-domain.
2026-03-19 · 3 min read #engineering-math#laplace-transform#ode#systems#2026-03Engineering Math Series 6: Higher-Order ODEs and Initial Value Problems
Covers the basic structure of third-order and higher ODEs and the meaning of initial value problems, explaining why the number of conditions is tied to the order.
2026-03-19 · 3 min read #engineering-math#ode#higher-order-ode#initial-value-problem#2026-03Engineering Math Series 3: Separation of Variables, Integrating Factor, Exact Equations
Covers the three essential solution methods for first-order ODEs -- separation of variables, integrating factor, and exact equations -- with intuition and worked examples.
2026-03-19 · 4 min read #engineering-math#ode#first-order-ode#integrating-factor#2026-03Engineering Mathematics 1: Ordinary Differential Equations & Laplace Transform - Complete Guide
A complete guide to ordinary differential equations for electrical, electronic, and mechanical engineering students. Master first-order ODEs, second-order linear ODEs, systems of ODEs, Laplace transforms, and inverse tra
2026-03-17 · 19 min read #engineering-math#ode#differential-equations#laplace-transform#mathematics