The whole point of having ABET accredit programs is to standardize a basic body of knowledge. Curricula in mechanical, chemical, electrical, and biomedical all include solving DEQ and PDE systems. Solving those without Laplace transforms is cruel, once the basic principles are understood of course.
If it's just a goddamn title, then you wouldn't be so insistent on using it. You want to use it because it implies a level of education and professionalism. It's crass to use the title because there is such a thing as software engineering, and the people most strongly insisting to use the title don't practice it. Like I said, you can legally use it, but licensed engineers are rolling their eyes when your back is turned.