The Key Definitions of Differential Equations: ODE, order, solution, initial condition, IVP

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In this video I introduce the core concepts and the precise definitions of Differential Equations. We will define an ordinary differential equation, partial differential equation and system of differential equations. We will also see the order of a differential equation, solutions to a differential equation, the general solution, initial conditions and finally initial value problems (or IVPs). It's a lot. But these ideas collectively are the very foundation of differential equations and we will use them throughout this course.

0:00 ODEs
2:40 PDEs and Systems
3:42 Solutions to ODES
6:32 MAPLE CALCULATOR
8:15 Initial Conditions
9:22 Initial Value Problem

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