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Solving Differential Equations
Challenging problems can be solved with differential equations.
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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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