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Differential Equations :: Theory of Linear Equations :: Reduction of Order
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Classroom Contents
Differential Equations
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- 1 Linear, Exact, and Homogeneous Differential Equations Lecture
- 2 Bernoulli Differential Equations and a General Substitution Method
- 3 Applications of First Order Linear Differential Equations
- 4 Linear Models:: Applications of Linear ODEs
- 5 Differential Equations :: Theory of Linear Equations :: Reduction of Order
- 6 Linear Differential Equations with Constant Coefficients :: Intro and Distinct Roots Example
- 7 Linear Equations with Constant Coefficients :: Repeated and Complex Roots and Higher Order Equations
- 8 Undetermined Coefficients and Variation of Parameters :: Discussion
- 9 Cauchy Euler Differential Equations and Applications of Linear Equations :: Spring Mass Systems
- 10 Applications of Linear Equations :: Spring Mass Systems Continued
- 11 Power Series Solutions of Differential Equations
- 12 Power Series Solutions of Differential Equations Continued
- 13 Method of Frobenius and Special Equations :: Bessel and Legendre
- 14 Laplace Transforms, Inverse Transforms, Partial Fractions, and Using Laplace for ODEs
- 15 Laplace Shifting Theorems, Convolution and Other Properties
- 16 Laplace Transform | Convolution | Integral Equations | Period Functions | Dirac Delta
- 17 Linear Systems of Differential Equations Lecture 1
- 18 Systems of Differential Equations Lecture 2: Repeated Eigenvalues and Phase Portraits
