17.3 - Major Engineering Applications of PDEs
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Practice Questions
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What does a PDE describe?
💡 Hint: Consider the number of variables involved.
Name one application of elliptic PDEs.
💡 Hint: Think of things that don't change over time.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does a Partial Differential Equation (PDE) relate to?
💡 Hint: Think about how many dimensions are involved in the function.
True or False: Parabolic PDEs are used to describe wave motion.
💡 Hint: Recall the types of PDEs we discussed.
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Challenge Problems
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Create a detailed model using Fourier's equation to design a cooling system for a sensitive electronic device. Discuss the parameters you would need and how you would analyze the heat distribution.
💡 Hint: Identify the initial and boundary conditions based on the device's operating environment.
Using wave equations, analyze how a seismic wave would impact a structure. What factors would you consider in your analysis?
💡 Hint: Think about how the frequency of the wave interacts with the natural frequency of the structure.
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