Let{} and L-1{{} be the Laplace and the inverse Laplace transforms, respectively

Question

Let{} and L-1{{} be the Laplace and the inverse Laplace transforms, respectively. Which of the following statements are correct? If L{f1(t)} = F1(s) for s > c1 and L{f2(t)} = F2(s) for s > c2, then for s > c1 and s > c2 L{f1(t) + f2(t)} = F1(s) + F2(s). If L{f1(t) = F1(s) and L{f2(t)} = F2(s), then L-1{F1(s)F2(s)} = f1(t)f2(t). If f(t) is piecewise continuous on (0, infinity) and of exponential order, then L{f(t)} = 0 as s approaches infinity. If f(t) = t e-infinity, then L {f(t)} = 1/(s + a). If f(t) = sinh(at), then L{f(t)} = a/(s2 - a2).

Explanation / Answer

The all statements are correct except the statement (B)

Related Questions

Navigate

• Browse (All)
• Browse L
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.