Inverse Laplace Transforms and Partial Fractions
Curriculum and historical examination lineage for Inverse Laplace Transforms and Partial Fractions under Unit 3 (Laplace Transforms) of Advanced Calculus and Complex Analysis (21MAB102T) at SRMIST.
Historical appearance distribution across SRMIST Formative Tests (CT1, CT2) and University End Semester examinations.
Factual marks weightage of questions asked on this topic in historical examinations.
Question templates that recur across multiple examination cycles with similar conceptual stems.
“\text{The inverse laplace transform of } \frac{1}{s^2 - a^2} \text{ is} (A) \frac{\sinh at}{a} (B)...”
“Find \(L^{-1}\left[\frac{1}{(s - 1)^2}\right]\) (A) \(te^{-t}\) (B) \(te^{t}\) (C) \(t^2 e^{t}\)...”
“Inverse laplace transform of \(\frac{1}{s^2}\) is (A) \(t/2\) (B) \(t^2/2\) (C) \(t\) (D) \(t^2\)”
“Find \(L^{-1}\left[\log \left(\frac{s(s+1)}{s^2+1}\right)\right]\).”
“\text{The inverse laplace transform of } \frac{2}{s - b} \text{ is} (A) 2t e^{-bt} (B) 2e^{-bt} (C)...”
Representative historical questions extracted directly from SRMIST examination papers.
Inverse laplace transform of \(\frac{1}{s^2 - a^2}\) is (A) \(\frac{\sin at}{a}\) (B) \(\frac{\sinh at}{a}\) (C) \(\sin at\) (D) \(\sinh at\)
Inverse laplace transform of \(\frac{1}{s^2}\) is (A) \(t/2\) (B) \(t^2/2\) (C) \(t\) (D) \(t^2\)
b. Find \(\mathcal{L}^{-1} \left[ \log \left( \frac{s(s+1)}{s^2+1} \right) \right]\).
Find \(L^{-1}\left[\frac{1}{(s-1)^2}\right]\)
Find L^{-1}\left[\frac{1}{(s+a)^2}\right] (A) te^{at} (B) te^{-at} (C) t (D) e^{at}
Examinations where questions for Inverse Laplace Transforms and Partial Fractions have appeared.
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