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A partial differential equation differs from an ordinary one in that its unknown function

  • A.depends on two or more independent variables
  • B.appears raised to a power greater than one
  • C.is determined only up to an arbitrary constant
  • D.is required to be continuous but not differentiable

Answer: A

Partial derivatives exist only when there is more than one independent variable to differentiate with respect to, so the distinction is the number of independent variables and nothing else. The power of the unknown decides the degree, arbitrary constants arise in both kinds, and both demand the derivatives that appear to exist

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