A complete walkthrough of the UNISA APM2611 syllabus — classifying differential equations, solving first-order equations (separable, linear, exact, homogeneous and Bernoulli), higher-order linear equations by undetermined coefficients, variation of parameters and operator methods, power-series solutions, Laplace transforms, Fourier series, and partial differential equations by separation of variables. With AI quizzes, AI-marked written practice, and worked examples.