Question:medium
Find the inverse Fourier Transform of
\[
X(j\omega)=\frac{j\omega+1}{(j\omega)^2+5j\omega+6}.
\]
Find the inverse Fourier Transform of
\[
X(j\omega)=\frac{j\omega+1}{(j\omega)^2+5j\omega+6}.
\]
Show Hint
Always factor the denominator first and then use partial fractions before applying standard Fourier transform pairs.
Updated On: Jun 25, 2026
- \(2e^{3t}u(t)+e^{2t}u(t)\)
- \(3e^{-3t}u(t)-2e^{-2t}u(t)\)
- \(2e^{-2t}u(t)+3e^{-3t}u(t)\)
- \(2e^{-3t}u(t)-e^{-2t}u(t)\)
Show Solution
The Correct Option is B
Solution and Explanation
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