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1.1.1. Method

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  1. 1.

    Define Partial Differential Equation.

    Hint

    It includes derivatives with respect to multiple variables.

  2. 2.

    What do we do with arbitrary constants in forming a PDE?

    Hint

    Think about how we treat z = ax + by + c.

  3. 3.

    What does a Partial Differential Equation involve?

    • Only single variables
    • Partial derivatives of multivariable functions
    • Only constants
    Hint

    Think about derivatives that involve more than one variable.

  4. 4.

    True or False: We eliminate arbitrary functions when forming PDEs.

    • True
    • False
    Hint

    Consider our discussions on differentiating and substituting.

  5. 5.

    Given z = 3xy + b, derive a PDE by eliminating b. What is the result?

    Hint

    Remember how to sub and eliminate constants.

  6. 6.

    Using z = sin(x) + cos(y) + h(xy), eliminate h to arrive at a new PDE.

    Hint

    Work through each derivative carefully and use algebra to consolidate.

Exercises

Total Questions

2

Estimated Time

4 min

Passing Score

70%

Instructions

  • Read each question carefully
  • You can use hints if you need help
  • Complete all questions before submitting

4 more questions available

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Quiz

Total Questions

2

Estimated Time

4 min

Passing Score

70%

Instructions

  • Read each question carefully
  • You can use hints if you need help
  • Complete all questions before submitting

1 more question available

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Challenge Problems

Total Questions

2

Estimated Time

4 min

Passing Score

70%

Instructions

  • Read each question carefully
  • You can use hints if you need help
  • Complete all questions before submitting