Differential equations
Learn differential equations—differential equations, separable equations, exact equations, integrating factors, and homogeneous equations, and more.
3 units70 videos11 hours
Learn it live with a class on Puzzicle · Teachers: use it with your class
Unit 1: First order differential equations
Intro to differential equations
Slope fields
Introducing slope fields ✓ Check-ins5:52
Working an example: equation from slope field ✓ Check-ins6:11
Working an example: slope field from equation ✓ Check-ins3:03
Working an example: forming a slope field ✓ Check-ins3:31
Approximating solution curves in slope fields ✓ Check-ins6:56
Working an example: range of solution curve from slope field ✓ Check-ins2:09
Separable equations
Introducing separable equations ✓ Check-ins9:06
Addressing treating differentials algebraically ✓ Check-ins4:44
Working an example: identifying separable equations ✓ Check-ins4:57
Working an example: finding a specific solution to a separable equation ✓ Check-ins5:38
Working an example: separable equation with an implicit solution ✓ Check-ins3:18
Separable equations (old) ✓ Check-ins ✎ Fixed a slip12:00
Separable equations example (old) ✓ Check-ins5:37
Exponential models
Exploring exponential models and differential equations (Part 1) ✓ Check-ins7:41
Exploring exponential models and differential equations (Part 2) ✓ Check-ins4:53
Working an example: exponential solution to differential equation ✓ Check-ins ✎ Fixed a slip4:27
Newton's Law of Cooling ✓ Check-ins10:02
Worked example: Newton's law of cooling ✓ Check-ins12:23
Logistic models
Exact equations and integrating factors
Exact equations intuition 1 (proofy) ✓ Check-ins9:54
Exact equations intuition 2 (proofy) ✓ Check-ins10:51
Exact equations example 1 ✓ Check-ins ✎ Fixed a slip12:09
Exact equations example 2 ✓ Check-ins8:01
Exact equations example 3 ✓ Check-ins9:59
Integrating factors 1 ✓ Check-ins10:16
Integrating factors 2 ✓ Check-ins8:26
Unit 2: Second order linear equations
Linear homogeneous equations
2nd order linear homogeneous differential equations 1 ✓ Check-ins9:44
2nd order linear homogeneous differential equations 2 ✓ Check-ins ✎ Fixed a slip8:28
2nd order linear homogeneous differential equations 3 ✓ Check-ins5:59
2nd order linear homogeneous differential equations 4 ✓ Check-ins ✎ Fixed a slip9:10
Complex and repeated roots of characteristic equation
Complex roots of the characteristic equations 1 ✓ Check-ins10:27
Complex roots of the characteristic equations 2 ✓ Check-ins10:23
Complex roots of the characteristic equations 3 ✓ Check-ins ✎ Fixed a slip10:12
Repeated roots of the characteristic equation ✓ Check-ins11:58
Repeated roots of the characteristic equations part 2 ✓ Check-ins8:52
Unit 3: Laplace transform
Laplace transform
Properties of the Laplace transform
Laplace as linear operator and Laplace of derivatives ✓ Check-ins ✎ Fixed a slip11:36
Laplace transform of cos t and polynomials ✓ Check-ins ✎ Fixed a slip9:45
"Shifting" transform by multiplying function by exponential ✓ Check-ins11:17
Laplace transform of t: L{t} ✓ Check-ins9:06
Laplace transform of t^n: L{t^n} ✓ Check-ins10:16
Laplace transform of the unit step function ✓ Check-ins24:15
Inverse Laplace examples ✓ Check-ins ✎ Fixed a slip19:15
Dirac delta function ✓ Check-ins ✎ Fixed a slip17:48
Laplace transform of the dirac delta function ✓ Check-ins12:13
Laplace transform to solve a differential equation
Learn this with a class
With a class on Puzzicle this course runs as a timetable of live study parties: your batch watches together and answers the check-ins, sometimes with a teacher leading.
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