Diff' Eq' Mental Quiz

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Diff. Eq. Mental Quiz

• (No pencils, calculators, etc. allowed)
• Five(5) types of questions

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Type I

• Solve the differential equation
• Give the most general solution.

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Solve
4
Solve
5
Solve
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Solve
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Solve
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Solve
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Solve
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Solve
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Type II

• Solve the differential equation
• Give the most general solution.

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Solve
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Solve
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Solve
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Solve
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Solve
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Solve
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Solve
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Solve
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Type III

• Given the general solution to the differential
  equation, find the solution that satisfies the
  given initial conditions.

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is the general solution of
What is the solution satisfying
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is the general solution of
What is the solution satisfying
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is the general solution of
What is the solution satisfying
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is the general solution of
What is the solution satisfying
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is the general solution of
What is the solution satisfying
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is the general solution of
What is the solution satisfying
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is the general solution of
What is the solution satisfying
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is the general solution of
What is the solution satisfying
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Type IV

• Given the slope field and initial condition,
  answer the question.

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• Above is the slope field for y1-y. If for a
  certain solution, y(0)3,
• what can you say about y(100)?

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• Above is the slope field for y1-y. If for a
  certain solution, y(0)3,
• what can you say about y(-100)?

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• Above is the slope field for y1-y. If for a
  certain solution, y(0)1,
• what can you say about y(100)?

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• Above is the slope field for y1-y. If for a
  certain solution, y(0)0,
• what can you say about y(100)?

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• Above is the slope field for y1-y. If for a
  certain solution, y(100)0,
• what can you say about y(0)?

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• Above is the slope field for y1-y. If for a
  certain solution, y(0)3,
• what can you say about y(100)?

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Type V

• Given the two slope fields, identify the
  requested one.

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Which is the slope field for yy?
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Which is the slope field for yx?
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Which is the slope field for y2?
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Which is the slope field for yy-1?
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Which is the slope field for y-x?