Differential Equations Exam 1 Review Problems and Solutions

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The applied differential equation models include: a) Newton's Law of Heating and Cooling Model, b) Predator-Prey Model, c) Free Fall with Air Resistance Model (Free Fall with Drag Model).

This is for the following courses: 1) Calculus 2, 2) Differential Equations, 3) Differential Equations and Linear Algebra

Links and resources
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⏱️TIMESTAMPS⏱️
(0:00) Introduction
(0:35) Separation of Variables Example 1
(4:54) Separation of Variables Example 2
(9:56) Slope Field Example 1 (Pure Antiderivative Differential Equation)
(14:25) Slope Field Example 2 (Autonomous Differential Equation)
(19:01) Slope Field Example 3 (Mixed First-Order Ordinary Differential Equation)
(25:10) Euler's Method Example
(29:38) Newton's Law of Cooling Example
(39:05) Predator-Prey Model Example
(48:24) True/False Question about Translations
(49:17) Free Fall with Air Resistance Model
(52:48) Existence by the Fundamental Theorem of Calculus
(55:38) Existence and Uniqueness Consequences
(1:00:10) Non-Unique Solutions of the Same Initial-Value Problem. Why?

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