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Unit: Differential equations

AP Calc:
FUN (BI)
,
FUN‑7 (EU)

0

Possible mastery points

Modeling situations with differential equations

AP Calc:
FUN (BI)
,
FUN‑7 (EU)
,
FUN‑7.A (LO)
,
FUN‑7.A.1 (EK)
Learn
Differential equations introduction
(Opens a modal)
Writing a differential equation
(Opens a modal)
Practice
Write differential equationsGet 3 of 4 questions to level up!

Verifying solutions for differential equations

AP Calc:
FUN (BI)
,
FUN‑7 (EU)
,
FUN‑7.B (LO)
,
FUN‑7.B.1 (EK)
,
FUN‑7.B.2 (EK)
Learn
Verifying solutions to differential equations
(Opens a modal)
Practice
Verify solutions to differential equationsGet 3 of 4 questions to level up!

Sketching slope fields

AP Calc:
FUN (BI)
,
FUN‑7 (EU)
,
FUN‑7.C (LO)
,
FUN‑7.C.1 (EK)
Learn
Slope fields introduction
(Opens a modal)
Worked example: equation from slope field
(Opens a modal)
Worked example: slope field from equation
(Opens a modal)
Worked example: forming a slope field
(Opens a modal)
Practice
Slope fields & equationsGet 3 of 4 questions to level up!

Reasoning using slope fields

AP Calc:
FUN (BI)
,
FUN‑7 (EU)
,
FUN‑7.C (LO)
,
FUN‑7.C.2 (EK)
,
FUN‑7.C.3 (EK)
Learn
Approximating solution curves in slope fields
(Opens a modal)
Worked example: range of solution curve from slope field
(Opens a modal)
Practice
Reasoning using slope fieldsGet 3 of 4 questions to level up!

Approximating solutions using Euler’s method

AP Calc:
FUN (BI)
,
FUN‑7 (EU)
,
FUN‑7.C (LO)
,
FUN‑7.C.4 (EK)
Learn
Euler's method
(Opens a modal)
Worked example: Euler's method
(Opens a modal)
Practice
Euler's methodGet 3 of 4 questions to level up!

Quiz 1

Level up on the above skills and collect up to 500 Mastery points

Finding general solutions using separation of variables

AP Calc:
FUN (BI)
,
FUN‑7 (EU)
,
FUN‑7.D (LO)
,
FUN‑7.D.1 (EK)
,
FUN‑7.D.2 (EK)
Learn
Separable equations introduction
(Opens a modal)
Addressing treating differentials algebraically
(Opens a modal)
Separable differential equations
(Opens a modal)
Worked example: separable differential equations
(Opens a modal)
Worked example: identifying separable equations
(Opens a modal)
Identifying separable equations
(Opens a modal)
Practice
Separable differential equations: find the errorGet 3 of 4 questions to level up!
Separable differential equationsGet 3 of 4 questions to level up!
Identify separable equationsGet 3 of 4 questions to level up!

Finding particular solutions using initial conditions and separation of variables

AP Calc:
FUN (BI)
,
FUN‑7 (EU)
,
FUN‑7.E (LO)
,
FUN‑7.E.1 (EK)
,
FUN‑7.E.2 (EK)
,
FUN‑7.E.3 (EK)
Learn
Particular solutions to differential equations: rational function
(Opens a modal)
Particular solutions to differential equations: exponential function
(Opens a modal)
Worked example: finding a specific solution to a separable equation
(Opens a modal)
Worked example: separable equation with an implicit solution
(Opens a modal)
Practice
Particular solutions to differential equationsGet 3 of 4 questions to level up!
Particular solutions to separable differential equationsGet 3 of 4 questions to level up!

Exponential models with differential equations

AP Calc:
FUN (BI)
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FUN‑7 (EU)
,
FUN‑7.F (LO)
,
FUN‑7.F.1 (EK)
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FUN‑7.F.2 (EK)
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FUN‑7.G (LO)
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FUN‑7.G.1 (EK)
Learn
Exponential models & differential equations (Part 1)
(Opens a modal)
Exponential models & differential equations (Part 2)
(Opens a modal)
Worked example: exponential solution to differential equation
(Opens a modal)
Practice
Differential equations: exponential model equationsGet 3 of 4 questions to level up!
Differential equations: exponential model word problemsGet 3 of 4 questions to level up!

Logistic models with differential equations

AP Calc:
FUN (BI)
,
FUN‑7 (EU)
,
FUN‑7.H (LO)
,
FUN‑7.H.1 (EK)
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FUN‑7.H.2 (EK)
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FUN‑7.H.3 (EK)
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FUN‑7.H.4 (EK)
Learn
Growth models: introduction
(Opens a modal)
The logistic growth model
(Opens a modal)
Worked example: Logistic model word problem
(Opens a modal)
Logistic equations (Part 1)
(Opens a modal)
Logistic equations (Part 2)
(Opens a modal)
Practice
Differential equations: logistic model word problemsGet 3 of 4 questions to level up!

Quiz 2

Level up on the above skills and collect up to 800 Mastery points
Up next for you:

Unit test

Level up on all the skills in this unit and collect up to 1300 Mastery points!

About this unit

Differential equations are equations that include both a function and its derivative (or higher-order derivatives). For example, y=y' is a differential equation. Learn how to find and represent solutions of basic differential equations.
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