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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