Explores dominant balance analysis in solving the quintic polynomial, revealing insights into root behavior and the importance of symbolic expressions.

Basis Decomposition of PDEs: 1D and Multidimensional Problems

Explores solving PDEs using eigenmodes decomposition and Fourier series representation of solutions.

Integral Techniques: Rational Functions

Explores integrating rational functions using decomposition and division techniques with step-by-step examples.

Vector Equations: Linear Systems and Combinations

Explores vector equations, linear systems, and combinations in the context of linear algebra.

Linear Differential Equations

Covers linear differential equations of order n with constant coefficients and how to find their general solutions.