Lectures in 2nd Order, A COMPLETE OVERVIEW
Lecture 1: Overview
Lecture 2: The Characteristic Equation
Lecture 3: The Harmonic Oscillator
Lecture 4: The Mechanical - Electrical Equivalence
Lecture 5: Linear Vs Non-Linear 2Nd Order Diff. Eqn.
Lecture 6: The Superposition Principle
Lecture 7: The Superposition Principle: Example
Lecture 8: The Initial Value Problem
Lecture 9: The Initial Value Problem: Example 1
Lecture 10: The Initial Value Problem: Example 2
Lecture 11: The Linearly Independent Solution
Lecture 12: The Linearly Independent Sol.: Checked With Wronskian
Lecture 13: Wronskian Test For Independence
Lecture 14: The Characteristic Eqn. - 2 Real Roots: Ex. 1
Lecture 15: The Characteristic Eqn. - 2 Real Roots: Ex. 2
Lecture 16: The Characteristic Eqn. - 2 Real Roots: Ex. 3
Lecture 17: The Characteristic Eqn. - Real Repeated Roots
Lecture 18: The Chara. Eqn. - Real Repeated Roots: Initial Cond.
Lecture 19: Find The Original Diff. Eqn. Given General Sol.: 1
Lecture 20: Find The Original Diff. Eqn. Given General Sol.: 2
Lecture 21: Constant Coeff. W/ Complex Roots: Another Look
Lecture 22: Constant Coeff. W/ Complex Roots: Example 1
Lecture 23: Constant Coeff. W/ Complex Roots: Example 2
Lecture 24: Constant Coeff. W/ Complex Roots: Example 3
Lecture 25: Constant Coeff. W/ Complex Roots: Example 4
Lecture 26: General Solution Y(T)=? When Y-Term Is Missing
Lecture 27: General Solution Y(T)=? When Y-Term Is Missing Ex.
Lecture 28: Y(T)=? When Y-Term Is Missing; Summary
Lecture 29: Initial Value Problem Vs Boundary Value Problem
Lecture 30: Initial Value Problem
Lecture 31: General Approach To Find Y(T)=? (Missing Y-Term)
Lecture 32: Abel'S Theorem
Lecture 33: Abel'S Theorem: Example
Lecture 34: Summary Of Solution (2Nd Order Homogen D. E.)
Lecture 35: Summary Of Solution: Ex. Case 1
Lecture 36: Summary Of Solution: Ex. Case 2 B^2-4Ac=0
Lecture 37: Summary Of Solution: Ex. Case 3
Lecture 38: Sovling Non-Homog. 2Nd Ord. Diff. Eqn. Overview
Lecture 39: Method Of Undetermined Coefficient
Lecture 40: Method Of Undetermined Coefficient: Ex. 1
Lecture 41: Method Of Undetermined Coefficient: Ex. 2
Lecture 42: Method Of Undetermined Coefficient: Ex. 3
Lecture 43: General Principle Of Superposition
Lecture 44: Method Of Undetermined Coefficients
Lecture 45: Method Of Undetermined Coefficients: G(T)=Sums
Lecture 46: Method Of Undetermined Coefficients: Part 1
Lecture 47: Method Of Undetermined Coefficients: Part 2
Lecture 48: Method Of Undetermined Coefficients: G(T)=Prod.
Lecture 49: Method Of Variation Of Parameters
Lecture 50: Method Of Variation Of Parameters: Part 1/4
Lecture 51: Method Of Variation Of Parameters: Part 2/4
Lecture 52: Method Of Variation Of Parameters: Part 3/4
Lecture 53: Method Of Variation Of Parameters: Part 4/4
Lecture 54: Method Of Variation Of Parameters: Ex. 1
Lecture 55: Method Of Undetermine Coeff.: Ex.
Lecture 56: Method Of Variation Of Parameters: Ex. 2
Lecture 57: Method Of Variation Of Parameters: Ex. 3
Lecture 58: Method Of Variation Of Parameters: Ex. 4
Lecture 59: Laplace Transform (Homog. Eqn.)
Lecture 60: Laplace Transform (Non-Homog. Eqn.)
Lecture 61: Methods To Solve Diff. Eqn. W/ Variable Coeff.
Lecture 62: Missing Y-Term W/ Variable Coeff. (Homog. Eq)
Lecture 63: Missing Y-Term W/ Variable Coeff (Non-Homog)
Lecture 64: Reduction Method - General Method
Lecture 65: Reduction Method: Example
Lecture 66: Euler Eqn. (Cauchy Eqn.) General Case
Lecture 67: Euler Eqn. (Cauchy Eqn.): Ex. 1
Lecture 68: Euler Eqn. (Cauchy Eqn.): Ex. 2
Lecture 69: Euler Eqn. (Cauchy Eqn.): Ex. 3