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3 cards from this section. Quick, good the night before a test.
What is a Partial Differential Equation?
Think about how it differs from ordinary differential equations.
What characterizes a linear PDE?
Consider the forms of equations you are familiar with.
What is the definition of a Partial Differential Equation?
Think about equations that vary across two or more dimensions.
True or False: A linear PDE can contain products of its dependent variable and its derivatives.
Remember what defines linear relationships.
If a PDE satisfied the equation ∂²u/∂x² - ∂²u/∂t² + k = 0 is restructured, classify and explain its nature.
Focus on the relevance of wave behavior.
In a scenario where ∂²u/∂x² + ∂²u/∂y² = f(x,y) is given, explain how to find if it's elliptic, parabolic, or hyperbolic.
Identify coefficients related to the discriminant criteria.
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