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Differential equation

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Course content

85 Lessons

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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