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3 cards from this section. Quick, good the night before a test.
Define what a Partial Differential Equation (PDE) is.
Think about derivatives with multiple variables.
What is the first step in eliminating arbitrary constants?
Think about using the definition of derivatives.
What symbol is often used to denote ∂z/∂x?
Think about how we label derivatives in the examples.
True or False: Arbitrary functions cannot be eliminated when forming PDEs.
Consider the methods we discussed for handling functions.
Given the function z = e^(ax + by) + c, derive the PDE by eliminating c.
Focus on how the exponential responds to differentiation.
Take the function z = x^2 + y^2 + f(x-y); eliminate f to derive the PDE.
Pay attention to how the difference in `x` and `y` is expressed in terms of `f`.
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