Differential Equations MOC

2 main parts of diff eqs:
Ordinary Differential Equation
Partial Differential Equation (not touched upon yet)

Visualizing Solutions without Solving
Critical Point

Integrating Factor for Second Order ODEs

Test 1 Prep:

Definitions

Homogenous ODE
Exact ODE
Autonomous ODE vs Non-Autonomous ODE
Linear ODE (Linear vs Non-linear)

Equilibrium Point

Isocline

Fundamental Set of Solutions (constant coefficient ODE)

ODE Substitution Methods

Solving General First Order Linear ODEs (integrating factor)

Direction Field and ODEs

Fundamental Existence and Uniqueness Theorem
Exact Equation solving

Cauchy-Euler
Reduction of Order

Exponential Order
Laplace Transform, Inverse Laplace Transform

Final Exam