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Put these steps of solving a linear equation with constant coefficients in order. 1. Choose and fit a trial particular integral to the right-hand side   2. Add the two parts and apply the initial conditions   3. Write and solve the auxiliary equation   4. Write the complementary function from the roots

  • A.4, 3, 1, 2
  • B.3, 4, 1, 2
  • C.1, 3, 4, 2
  • D.3, 1, 4, 2

Answer: B

The auxiliary equation comes first because its roots decide both the complementary function and whether the trial particular integral needs a factor of \( x \). The two parts are then added, and only the complete general solution can absorb the initial conditions, since the constants belong to the complementary function

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