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Unit 7: Differential Equations

AP Calculus AB/BC

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📝study guide

7.0 Unit 7 Overview: Differential Equations

Differential equations are at the heart of mathematical modeling for all the sciences: physical, social, financial, et cetera.

Apr 9 2020

3 min read

📄slides

Separable Differential Equations Slides

Browse slides from the stream 'Separable Differential Equations.'

Mar 31 2020

1:05:16

Separable Differential Equations

Join us for a discussion of separable differential equations in the context of the AP Calculus exam.

Mar 31 2020

• 213 views

📝study guide

7.2 Verifying Solutions for Differential Equations

If you are good at differentiating, you will also be good at testing possible solutions for differential equations. The process is as simple as taking a derivative, plugging it into a formula, and then doing some simplifying to show that the solution does or does not work. 🤔

Apr 6 2020

2 min read

📝study guide

7.3 Sketching Slope Fields

Slope fields allow us to visualize a solution to a differential equation without actually solving the differential equation. Let’s construct a slope field to solidify this idea. 🧠

Apr 6 2020

1 min read

📝study guide

7.4 Reasoning Using Slope Fields

Continued from 7.3 Sketching Slope Fields.

Apr 6 2020

1 min read

📝study guide

7.5 Approximating Solutions Using Euler’s Method

Euler’s method is a way to find the numerical values of functions based on a given differential equation and an initial condition. We can approximate a function as a set of line segments using Euler’s method.

Mar 31 2020

2 min read

📝study guide

7.6 Finding General Solutions Using Separation of Variables

🎥Watch: AP Calculus AB/BC - Separable Differential Equations

Apr 7 2020

1 min read

📝study guide

7.7 Finding Particular Solutions Using Initial Conditions and Separation of Variables

🎥Watch: AP Calculus AB/BC - Separable Differential Equations

Apr 7 2020

3 min read

📝study guide

7.9 Logistic Models with Differential Equations

Logistic models describe phenomena using a logistic differential equation:

Apr 7 2020

2 min read

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Free Review 2020

18 resources

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Free Response Questions (FRQ)

10 resources

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Unit 1: Limits & Continuity

24 resources

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Unit 2: Differentiation: Definition & Fundamental Properties

19 resources

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Unit 3: Differentiation: Composite, Implicit & Inverse Functions

16 resources

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Unit 4: Contextual Applications of the Differentiation

11 resources

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Unit 5: Analytical Applications of Differentiation

17 resources

🔥

Unit 6: Integration and Accumulation of Change

7 resources

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