Differential Equations | Complete Review Course | Online Crash Course

This will be important for anyone studying differential equations. It includes all thee major topics that should appear in a undergraduate level differential equation course. Here below are the timestamps with direct link to the relevant lecture. Topics line up Part 1 - First Order Differential Equations 1) Intro 0:00    • Lecture 1 | Introduction to Differential E...   a) Verifying solutions 6:04 2) Four fundamental equations 29:26    • Lecture 2 | Four Fundamental Model Equatio...   3) Classifying differential equations 33:14    • Lecture 3 | Classification of Differential...   4) Basic Integration 47:52    • Lecture 4: Integrals as solutions | Differ...   a) Table of common integrals 1:02:06    • Table Of Integrals: Every Calculus Student...   5) Separation of variable method 1:02:08    • Lecture 5: Separable Differential Equation...   6) Integration factor method 1:12:13    • Lecture 6: Integrating Factor Method | Dif...   7) Direct substitution method 1:29:38    • Introduction to Substitution Methods | Dif...   8) Homogeneous equation 1:38:40    • Lecture 8: Solving Homogeneous Differentia...   9) Bernoulli's equation 1:49:03    • Lecture 9: Solving Bernoulli's Equation | ...   10) Exact equation 2:02:29    • Lecture 10: Solving Exact Differential Equ...   11) Almost-exact equation 2:21:13    • Lecture 11: Solving Almost Exact Different...   All-In-One review 2:32:20    • Solving 1ˢᵗ Order Differential Equations |...   12) Numerical Methods 2:32:56    • Lecture 15: Numerical Methods | Euler, Imp...   13) Euler's method 2:34:20 14) Runge-Kutta method 2:46:12 15) Directional fields 2:50:54    • Lecture 12: Directional Fields | Different...   16) Existence & Uniqueness Thm 3:00:58    • Lecture 13: Existence and Uniqueness of so...   17) Autonomous equation 3:08:28    • Lecture 14: Autonomous Differential Equati...   Part 2 - Second Order Differential Equations 18) 2nd Order Linear Differential Eq. 3:18:09    • Lecture 16: Introduction to Second Order L...   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 | Di...   a) Reduction of Order formula 4:19:23 20) Constant Coefficient Diff. Eq 4:28:12    • Lecture 18 : Constant Coefficient Differen...   a) Complex Numbers Review 4:28:11    • Complex Numbers | Review   21) Cauchy-Euler Diff. Equation 4:55:44    • Lecture 19: Cauchy-Euler Differential Equa...   22) Higher Order Constant Coefficient Eq 5:15:56    • Higher Order Differential Equations | Diff...   23) Non-homogeneous Diff. Eq 5:33:42 24) Undetermined Coefficient Method 5:39:24    • Undetermined Coefficient Method | Differen...   25) Variation of Parameters Method 6:14:52    • Variation of Parameters Method | Different...   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 Equatio...   a) SeeSaw method for series    • SeeSaw method for reindexing power series ...   27) Laplace transform method 7:22:28 a) Find Laplace transform 7:25:33    • Laplace Transform of a Function | Differen...   b) Inverse Laplace transform 7:37:9    • Inverse Laplace Transform | Differential E...   c) Cover-Up Method    • Cover-Up Method to Find Partial Fractions ...   d) Solving Diff. Equations 7:59:47    • Laplace Transform Method 1 | Solving Diffe...   e) Convolution method 8:13:30    • Laplace Transform Method 3 | Convolution M...   f) Heaviside function 8:28:55    • Laplace Transform Method 2 | Heaviside Fun...   g) Dirac Delta function 8:50:12    • Laplace Transform Method 4 | Dirac Delta F...   28) System of equations 9:04:08 a) Elimination method 9:06:44    • Solve System of ODEs by Elimination & Lapl...   b) Laplace transform method 9:22:23    • Solve System of ODEs by Elimination & Lapl...   c) Eigenvectors method 9:32:47    • Eigenvector Method to Solve a System of OD...   d) Shortcut method for 2 x 2    • Shortcut Method to Find Eigenvectors of 2 ...   e) Shortcut method for 3 x 3 (repeat)    • Shortcut Method to Find Eigenvectors of 3 ...   f) Shortcut method for 3 x 3    • Shortcut Method to Find Eigenvectors of 3 ...