Discussion
Just one of these four is a linear partial differential equation. Which?
Answer: D
Linearity requires the unknown and its derivatives to appear only to the first power and never multiplied by one another; coefficients depending on \( x \) and \( y \) are unrestricted. The squares and the products \( pq \) each break that, and it is those cases that need the nonlinear machinery of the standard types and Charpit's method
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