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4 cards from this section. Quick, good the night before a test.
Define what a first-order PDE is.
Think about the highest order of derivatives involved.
What is the general form of a first-order PDE?
Recall the notation featured in the section.
What is the highest order of derivatives in a first-order PDE?
Think about the classification by order.
True or False: The general form of a first-order PDE is given by F(x, y, z, p, q) = 0.
Look back at the general structure discussed.
Given the function z = 3xy + 2x^2 + c, derive and state the corresponding first-order PDE.
Apply differentiation and focus on the terms needing elimination.
For the PDE p^2 + q^2 = 1, apply Charpit's method to describe how you would find the complete solution.
Recall the formulations presented in the section for sequential solving.
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