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GitHub
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Welcome to Aayush's Differential Equations Portfolio
Definitions
Slope Field
Integrating Factor
Bifurcation Diagram
Principle of Superposition
Matrix Exponential
Almost linear (locally linear) system
Analysis
Solutions to a Linear 1st Order ODE
First-order autonomous ODE with a parameter
Constant Coefficients Linear Homogeneous Second-Order ODE
Bifurcation Value for system of 1st Order ODEs
Solved Problems
Linear ODEs
Reduction of Order as a Solution Technique
Constructing a System of ODEs
Theory
Existence and Uniqueness of solutions
Reduction of Order Method
Variation of Parameters Method
Conversion Of A n-th order ODE Into A First-Order System of ODEs
Transform 2nd order ODE into a 2-dimensional system of first-order ODEs
Behavior in Phase Plane
Applications
Fishing Example
Resonance Problem for MacPherson Strut
Mass on a Spring System
Constant Coefficients Linear Homogeneous Second-Order ODE
From Problem Set 5: Exercise 3
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From Problem Set 5: Exercise 3
