Differential equation
Course Content
First order differential equations
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Intro to differential equations
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Differential equations introduction
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Writing a differential equation
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Worked example: linear solution to differential equation
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Slope fields
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Slope fields introduction
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Worked example: equation from slope field
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Worked example: slope field from equation
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Worked example: forming a slope field
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Approximating solution curves in slope fields
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Worked example: range of solution curve from slope field
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Euler’s Method
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Euler’s method
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Worked example: Euler’s method
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Separable equations
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Separable equations introduction
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Addressing treating differentials algebraically
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Worked example: identifying separable equations
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Worked example: finding a specific solution to a separable equation
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Worked example: separable equation with an implicit solution
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Separable equations (old)
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Separable equations example (old)
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Exponential models
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Exponential models & differential equations (Part 1)
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Exponential models & differential equations (Part 2)
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Worked example: exponential solution to differential equation
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Newton’s Law of Cooling
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Worked example: Newton’s law of cooling
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Logistic models
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Growth models: introduction
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The logistic growth model
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Logistic equations (Part 1)
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Logistic equations (Part 2)
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Worked example: logistic model equations
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Integrating factors 1
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Integrating factors 2
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Exact equations and integrating factors
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Exact equations intuition 1 (proofy)
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Exact equations intuition 2 (proofy)
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Exact equations example 1
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Exact equations example 2
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Exact equations example 3
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Homogeneous equations
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First order homogenous equations
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First order homogeneous equations 2
Second order linear equations
Laplace transform
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