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1.1.2. Example 2
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Mixed questions from across the chapter. Your answers get marked.
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3 cards from this lesson. Good the night before a test.
Try these first
- 1.
Define a Partial Differential Equation.
Hint
Think about how these equations relate to functions.
- 2.
What is the first step in eliminating arbitrary constants?
Hint
Remember, you're looking to find derivatives!
- 3.
What does a Partial Differential Equation involve?
- Only derivatives
- Partial derivatives of multivariable functions
- Only functions
Hint
Consider what it means to have multiple independent variables.
- 4.
True or False: PDEs can represent real-world phenomena.
- True
- False
Hint
Reflect on the applications of equations.
- 5.
Given the equation z = e^(x) + cos(y + a), eliminate the constant a and form the corresponding PDE.
Hint
Remember to differentiate each term and substitute intelligently.
- 6.
From z = exp(x^2 + y^2), eliminate the function f and express the result as a PDE.
Hint
Relate your p and q effectively!
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
Enrol freeQuiz
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
2 more questions available
Enrol freeChallenge 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