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Engineering Mathematics
Calculus
GATE 2009
Medium

The inverse Laplace transform of 1/(s²+s) is

  • A1+eᵗ
  • B1-eᵗ
  • 1-e⁻ᵗ
  • D1+e⁻ᵗ

Explanation

1/(s²+s)=1/[s(s+1)]=1/s-1/(s+1) by partial fractions. Taking the inverse Laplace transform term by term gives 1-e⁻ᵗ.

Source: GATE ME 2009 (2009)

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