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Initial Value Problems 'IVP' are solved without first determing a general solution in

  • A.differentiation
  • B.integration
  • C.Laplace transform
  • D.None of these

Answer: C

The Laplace transform carries the initial conditions into the algebra from the outset:

\[ \mathcal{L}\{y'\} = sY - y(0) \]

so \( y(0) \) appears in the subsidiary equation itself. The particular solution falls out directly, with no general solution and no arbitrary constants to determine afterwards.

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