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If one "automatic" solution is trivial solution. solution of a linear homogeneous equation is a

  • A.elementary function
  • B.complementary function
  • C.homogeneous function
  • D.none

Answer: B

The general solution of a linear homogeneous equation is called the complementary function.

Every such equation has the trivial solution \( y = 0 \), which is why one solution is always "automatic"; the complementary function collects all of them.

For an inhomogeneous equation the full solution is the complementary function plus a particular integral.

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