The Domain of Solutions to Differential Equations

It'd be a shame to get a question wrong just by not accounting for the domain. An article on AP® Calculus looks at the importance of considering the domain of solutions to differential equations by looking at examples from past AP® Calculus exams. It also discusses how various Calculus textbooks define the solution to a differential equation.

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Instructional Ideas

  • Have the class examine the definition of a solution to a differential equation given in their own textbooks
Classroom Considerations

  • Note that the resource includes examples from both AP® Calculus AB and AP® Calculus BC
  • Learners should be familiar with slope fields and solutions to differential equations with initial conditions

  • Very in-depth analysis of the topic

  • Resource is mainly for teacher knowledge; does not provide any lesson context or student participation