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An initial value problem is a

  • A.integration equation
  • B.differentiation equation
  • C.infinite equation
  • D.difference equation

Answer: B

An initial value problem is a differential equation together with the value of the unknown function (and enough of its derivatives) at one point:

\[ y' = f(t,y), \qquad y(t_{0}) = y_{0} \]

The equation is what makes it a differentiation problem; the initial condition merely selects one solution from the general family.

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