AP Calculus BC · Unit 7
Differential Equations
In short
Unit 7: Differential Equations in AP Calculus BC covers 9 topics: Modeling Situations with Differential Equations, Verifying Solutions for Differential Equations, Sketching Slope Fields, Reasoning Using Slope Fields and 5 more. Open each one for what you need to know, a self-check list and how it is tested on the exam.
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What is in Unit 7: Differential Equations?
Unit 7: Differential Equations
7.1 Modeling Situations with Differential Equations
7.2 Verifying Solutions for Differential Equations
7.3 Sketching Slope Fields
7.4 Reasoning Using Slope Fields
7.5 Approximating Solutions Using Euler's Method
7.6 Finding General Solutions Using Separation of Variables
- I can use antidifferentiation to find the general solution to a differential equation.
7.7 Finding Particular Solutions Using Initial Conditions and Separation of Variables
- I can recognize and use an accumulation function as a particular solution to a differential equation.
7.8 Exponential Models with Differential Equations
7.9 Logistic Models with Differential Equations
- I can recognize the logistic differential equation that arises from a proportional rate of change.
- I can interpret the logistic differential equation and its initial conditions without needing to solve it.
- I can determine the carrying capacity (limiting value) of a logistic differential equation as the independent variable approaches infinity.
- I can determine the value of the dependent variable at the point when it is changing fastest.
Differential Equations: common questions
What is in Unit 7: Differential Equations?
It covers 9 topics: 7.1 Modeling Situations with Differential Equations; 7.2 Verifying Solutions for Differential Equations; 7.3 Sketching Slope Fields; 7.4 Reasoning Using Slope Fields; 7.5 Approximating Solutions Using Euler's Method; 7.6 Finding General Solutions Using Separation of Variables; 7.7 Finding Particular Solutions Using Initial Conditions and Separation of Variables; 7.8 Exponential Models with Differential Equations; 7.9 Logistic Models with Differential Equations.
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