: Buckingham Pi Theorem and nondimensionalization, which are often cited as more "annoying" but essential topics.
: Rather than just calculating numbers, the notes emphasize "qualitative sketches," allowing students to visualize families of solutions and predict long-term behavior without finding an explicit formula. University of Waterloo Real-World Applications amath 250 course notes pdf
: Second-order linear DEs for mass-spring-damper systems. : Buckingham Pi Theorem and nondimensionalization, which are
This paper provides an academic summary and analysis of the AMATH 250: Introduction to Differential Equations course notes, primarily used at the University of Waterloo : Buckingham Pi Theorem and nondimensionalization
System where time $t$ does not appear explicitly on the RHS. $$ \fracdxdt = P(x,y), \quad \fracdydt = Q(x,y) $$
Multivariable Calculus (Calculus III), Linear Algebra.
Modeling multi-variable physical systems. Why You Need Course Notes in PDF