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Unit 7 of 10

Differential Equations

This unit introduces equations involving derivatives and shows how they can model real-world change. Students work with slope fields, Euler’s Method, separable equations, initial conditions, and exponential and logistic models.

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UnitsLessons
  1. 04Contextual Applications of Differentiation7
  2. 05Analytical Applications of Differentiation12
  3. 06Integration and Accumulation of Change14
  4. 07Differential Equations9
  5. 08Applications of Integration13
  6. 09Parametric Equations, Polar Coordinates, and Vector-Valued Functions9
  7. 10Infinite Sequences and Series15
3 more units in the course outline
Units of AP® Calculus BC

Lessons

9 lessons in this unit

  1. 7.1Modeling Situations with Differential EquationsPreview lesson
  2. 7.2Verifying Solutions for Differential EquationsPreview lesson
  3. 7.3Sketching Slope FieldsPreview lesson
  4. 7.4Reasoning Using Slope FieldsPreview lesson
  5. 7.5Finding General Solutions Using Separation of VariablesPreview lesson
  6. 7.6Finding Particular Solutions Using Initial Conditions and Separation of VariablesPreview lesson
  7. 7.7Exponential Models with Differential EquationsPreview lesson
  8. 7.8Approximating Solutions Using Euler’s MethodPreview lesson
  9. 7.9Logistic Models with Differential EquationsPreview lesson

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