代做Engineering Math 2: Laplace Transform 1 – Tutorial Questions代做迭代

日期：2025-11-18 04:58

Engineering Math 2: Laplace Transform 1 - Tutorial Questions

Laplace Transform

1.  Use the table of Laplace transforms to determine y- (s) for each of the following functions y(t).

a.  7e-(t+√2)

b.  (t + 2)2

c.   2t3  + e 2t+5

d.  2t5  + 4t2  + 3t + 2

2.  Find the Laplace transform. of the function

y(t) = e3teπt(1 + 2(cos2 t + sin2 t))

3.  Find the Laplace transform. of y(t) = sin2 t

4.  Find the Laplace transform. of the function y(t) = t sin 4t

5.  Determine the Laplace transform. of the function: y(t) = t 2 sin 4t

6.  L{cosh at cos at}

7.  L{sinh at sin at}

8.  L{cosh(2t) sin(3t)}

Inverse Laplace Transform

9.  Find the function y(t) whose inverse Laplace transform. is given by:

 

10. Using Laplace transform. table, determine y(t) for each of the following functions:

11. Use the Laplace transform. table to determine the function y(t) for each of the following

functions:

Hint: Use completing the square technique to evaluate the denominator, create two different fractions to cast problem in a form. that will allow easy usage of the Laplace transform. table.

Further Problems on Laplace Transform

12. Use the table of Laplace transform. to determine y- (s) for each of the following functions of y(t) .