Differential equation
Course Content
First order differential equations

Intro to differential equations

Differential equations introduction

Writing a differential equation

Worked example: linear solution to differential equation

Slope fields

Slope fields introduction

Worked example: equation from slope field

Worked example: slope field from equation

Worked example: forming a slope field

Approximating solution curves in slope fields

Worked example: range of solution curve from slope field

Euler’s Method

Euler’s method

Worked example: Euler’s method

Separable equations

Separable equations introduction

Addressing treating differentials algebraically

Worked example: identifying separable equations

Worked example: finding a specific solution to a separable equation

Worked example: separable equation with an implicit solution

Separable equations (old)

Separable equations example (old)

Exponential models

Exponential models & differential equations (Part 1)

Exponential models & differential equations (Part 2)

Worked example: exponential solution to differential equation

Newton’s Law of Cooling

Worked example: Newton’s law of cooling

Logistic models

Growth models: introduction

The logistic growth model

Logistic equations (Part 1)

Logistic equations (Part 2)

Worked example: logistic model equations

Integrating factors 1

Integrating factors 2

Exact equations and integrating factors

Exact equations intuition 1 (proofy)

Exact equations intuition 2 (proofy)

Exact equations example 1

Exact equations example 2

Exact equations example 3

Homogeneous equations

First order homogenous equations

First order homogeneous equations 2
Second order linear equations
Laplace transform
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