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Differential Equations - Full Review Course | Online Crash Course

Here is a review of Laplace Transform method:    • Laplace Transform Method to Solve Dif...   About this video: This will be important for anyone studying differential equations. It includes all four major topics that should appear in an undergraduate level differential equation course. Here below are the timestamps with direct link to the relevant lectures. List of typos are given at the end of the list. List of typos ---------------------------------------------------------- at 21:28, it should be dy/dt = ky at 22:38, it should be dy/dt = -ky at 1:38:00 question, there should be 1/2 tan⁻¹(u/2) instead of tan⁻¹(u) at 4:38:50. The equation has -3 in it, not +3. Topics line up Part 1 - First Order Differential Equations 1) Intro 0:00    • Lecture 1 | Introduction to Different...   a) Verifying solutions 6:04 2) Four fundamental equations 29:26    • Lecture 2 | Four Fundamental Model Eq...   3) Classifying differential equations 33:14    • Lecture 3 | Classification of Differe...   4) Basic Integration 47:52    • Lecture 4: Integrals as solutions | D...   a) Table of common integrals 1:02:06    • Table Of Integrals: Every Calculus St...   5) Separation of variable method 1:02:08    • Lecture 5: Separable Differential Equ...   6) Integration factor method 1:12:13    • Lecture 6: Integrating Factor Method ...   7) Direct substitution method 1:29:38    • Introduction to Substitution Methods ...   8) Homogeneous equation 1:38:40    • Lecture 8: Solving Homogeneous Differ...   9) Bernoulli's equation 1:49:03    • Lecture 9: Solving Bernoulli's Equati...   10) Exact equation 2:02:29    • Lecture 10: Solving Exact Differentia...   11) Almost-exact equation 2:21:13    • Lecture 11: Solving Almost Exact Diff...   All-In-One review 2:32:20    • Solving 1ˢᵗ Order Differential Equati...   12) Numerical Methods 2:32:56    • Lecture 15: Numerical Methods | Euler...   13) Euler's method 2:34:20 14) Runge-Kutta method 2:46:12 15) Directional fields 2:50:54    • Lecture 12: Directional Fields | Diff...   16) Existence & Uniqueness Thm 3:00:58    • Lecture 13: Existence and Uniqueness ...   17) Autonomous equation 3:08:28    • Lecture 14: Autonomous Differential E...   Part 2 - Second Order Differential Equations 18) 2nd Order Linear Differential Eq. 3:18:09    • Lecture 16: Introduction to Second Or...   a) Linear Independence 3:39:09 b) Form of the General Solution 3:44:14 19) Reduction of Order Method 3:57:25    • Lecture 17: Reduction of Order Method...   a) Reduction of Order formula 4:19:23 20) Constant Coefficient Diff. Eq 4:28:12    • Lecture 18 : Constant Coefficient Dif...   a) Complex Numbers Review 4:28:11    • Complex Numbers | Review   21) Cauchy-Euler Diff. Equation 4:55:44    • Lecture 19: Cauchy-Euler Differential...   22) Higher Order Constant Coefficient Eq 5:15:56    • Higher Order Differential Equations |...   23) Non-homogeneous Diff. Eq 5:33:42 24) Undetermined Coefficient Method 5:39:24    • Undetermined Coefficient Method | Dif...   25) Variation of Parameters Method 6:14:52    • Variation of Parameters Method | Diff...   a) Formula for VP method 6:33:57 Part 3 - Series, Laplace Transforms & Systems 26) Series Solution Method 6:40:22    • Power Series Method | Differential Eq...   a) SeeSaw method for series    • SeeSaw method for reindexing power se...   27) Laplace transform method 7:22:28 a) Find Laplace transform 7:25:33    • Laplace Transform of a Function | Dif...   b) Inverse Laplace transform 7:37:9    • Inverse Laplace Transform | Different...   c) Cover-Up Method    • Cover-Up Method to Find Partial Fract...   d) Solving Diff. Equations 7:59:47    • Laplace Transform Method 1 | Solving ...   e) Convolution method 8:13:30    • Laplace Transform Method 3 | Convolut...   f) Heaviside function 8:28:55    • Laplace Transform Method 2 | Heavisid...   g) Dirac Delta function 8:50:12    • Laplace Transform Method 4 | Dirac De...   28) System of equations 9:04:08 a) Elimination method 9:06:44    • Solve System of ODEs by Elimination &...   b) Laplace transform method 9:22:23    • Solve System of ODEs by Elimination &...   c) Eigenvectors method 9:32:47    • Eigenvector Method to Solve a System ...   d) Shortcut method for 2 x 2    • Shortcut Method to Find Eigenvectors ...   e) Shortcut method for 3 x 3 (repeat)    • Shortcut Method to Find Eigenvectors ...   f) Shortcut method for 3 x 3    • Shortcut Method to Find Eigenvectors ...   -------------------------------------------------------------------------------------------------------- Important Derivatives Review (All topics)    • Derivatives Review | Power, Product, ...   -------------------------------------------------------------------------------------------------------- I hope you learn something new. Thank you for watching. ©The Math Tutor - All Rights Reserved ® #Mathematics #DifferentialEquations #TheMathTutor