Final answer:
The Laplace transform is not solely for continuous systems; it can be applied to discrete systems via the z-transform. It is also used in probability and statistics for manipulating probability density functions.
Step-by-step explanation:
No, the Laplace transform is not only for continuous systems. While it is true that it is commonly used in the analysis of continuous-time systems, especially in the contexts of control theory and differential equations, the Laplace transform can also be applied to discrete systems through the use of the z-transform which is considered the discrete counterpart of the Laplace transform. The key difference is that the z-transform converts discrete-time signals into the complex frequency domain, whereas the Laplace transform is used for continuous-time signals.
The application of the Laplace transform extends beyond solely engineering and physics applications to areas of probability and statistics, where it is used to transform probability density functions, enabling easier manipulation of the functions in the complex domain.