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Solving Differential Equations

Challenging problems can be solved with differential equations.

6A

Understanding the Concept of Differential Equations

  • Explain what it means to solve a differential equation
  • Find solutions to basic differential equations (including +C)
  • Use initial values to find solutions
  • Sketch a graph of an antiderivative of a given function’s graph
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6B

Understanding Slope Fields

  • Create slope fields from a differential equation
  • Read and interpret slope fields
  • Match slope fields to differential equations
  • Use slope fields to identify solutions to differential equations
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6C

Understanding Techniques for Integration

  • Integrate by substitution
  • Integrate by parts*
  • Use partial fraction decomposition to integrate*
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6D

Finding Solutions of Differential Equations

  • Separate variables in order to find solutions
  • Use Euler's Method to approximate solutions*
  • Solve exponential growth and decay problems
  • Solve logistic growth problems*
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