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Engineering Mathematics
Differential Equations
GATE 2016
Easy

The Laplace transform of e^(at)sin(bt) is

  • b/((s−a)²+b²)
  • B(s−a)/((s−a)²+b²)
  • C(s−a)/((s−a)²−b²)
  • Db/((s−a)²−b²)

Explanation

L{e^(at)sin(bt)}=b/((s−a)²+b²), a standard shifted-transform result.

Source: GATE CH 2016 (2016)

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