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3 cards from this section. Quick, good the night before a test.
What is a partial differential equation?
Think about derivatives that depend on more than one variable.
Provide an example of a first-order PDE.
Look for equations that involve first derivatives.
What is the general form of a PDE?
Remember that it should involve several variables.
True or False: A first-order PDE only includes second-order derivatives.
Think about the definition of order in derivatives.
Consider the first-order PDE ∂u/∂x + ∂u/∂y = 0. Prove that it represents a wave equation under certain boundary conditions.
Think about how each characteristic relates to the movement of waves.
Formulate a problem where a second-order PDE is necessary to describe heat transfer in a rod over time.
Consider how heat dissipates in a one-dimensional space over time.
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