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Lectures - Differential Equations

Jonathan Walters via YouTube

Syllabus

Linear, Exact, and Homogeneous Differential Equations Lecture.
Bernoulli Differential Equations and a General Substitution Method.
Applications of First Order Linear Differential Equations.
Linear Models:: Applications of Linear ODEs.
Differential Equations :: Theory of Linear Equations :: Reduction of Order.
Linear Differential Equations with Constant Coefficients :: Intro and Distinct Roots Example.
Linear Equations with Constant Coefficients :: Repeated and Complex Roots and Higher Order Equations.
Undetermined Coefficients and Variation of Parameters :: Discussion.
Cauchy Euler Differential Equations and Applications of Linear Equations :: Spring Mass Systems.
Applications of Linear Equations :: Spring Mass Systems Continued.
Power Series Solutions of Differential Equations.
Power Series Solutions of Differential Equations Continued.
Method of Frobenius and Special Equations :: Bessel and Legendre.
Laplace Transforms, Inverse Transforms, Partial Fractions, and Using Laplace for ODEs.
Laplace Shifting Theorems, Convolution and Other Properties.
Laplace Transform | Convolution | Integral Equations | Period Functions | Dirac Delta.
Linear Systems of Differential Equations Lecture 1.
Systems of Differential Equations Lecture 2: Repeated Eigenvalues and Phase Portraits.

Taught by

Jonathan Walters

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