Watch video lectures that complement the course material. Visual explanations to deepen your understanding of differential equations.
Start here to understand what differential equations are all about
Introduction Video
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An introductory video that sets the stage for the entire course. Discover why differential equations are the mathematical language used to describe change in nature, engineering, and science — from population growth to electrical circuits to mechanical vibrations.
Animated lectures with voiceover narration
Definition, separation technique, 6-step method, worked example, equilibrium solutions
Watch NowIntegrating factor method, standard form, derivation, two worked examples
Watch NowExactness test, potential functions, 7-step method, IVP example
Watch NowCase 1 μ(x), Case 2 μ(y), 6-step algorithm, two worked examples
Watch NowHomogeneous functions, v = y/x substitution, 5-step method, worked examples
Watch NowSubstitution v = y^(1-n), reduction to linear form, three worked examples
Watch NowMethod selection flowchart, 12 exam-style problems with step-by-step solutions, covers all 6 methods
Watch Now — Exam PrepAnimated lectures with voiceover narration
Characteristic equation, distinct real roots, repeated roots, complex roots, mind map
Watch NowGuessing table, modification rule, resonance, 6 worked examples, flowchart
Watch NowWronskian, VP formulas, derivation, 5 worked examples including tan and exponential
Watch NowIndicial equation, 3 root cases, reduction of order, transformation to constant coefficients
Watch NowMethod selection flowchart, 12 exam-style problems with step-by-step solutions, covers all 4 methods
Watch Now — Exam PrepAnimated lectures with voiceover narration
Laplace definition, linearity, s-shifting theorem, transform table, derivative transforms
Watch NowPartial fractions, cover-up method, completing the square, 8 worked examples
Watch Now6-step method, transfer function, 8 worked IVP examples including RLC circuits
Watch NowUnit step, second shifting theorem, convolution integral & theorem, impulse response
Watch NowComplete transform table, all 9 exam problem types with solutions, decision flowchart, exam strategies
Watch Now — Exam PrepAnimated lectures with voiceover narration
Matrix operations, determinants, eigenvalue definition, characteristic equation, 3 eigenvalue cases
Watch NowEigenvalue method, 3 solution cases, generalized eigenvectors, converting higher-order ODEs
Watch Now8 equilibrium types, trace-determinant classification, stability analysis, worked examples
Watch NowTwo-tank mixing, coupled springs, normal modes, RLC circuits, population dynamics
Watch NowEigenvalues, 3 solution cases, phase portraits, trace-determinant method, two-tank problems, exam strategies
Watch Now — Exam Prep