Toronto Math Forum
MAT2442013S => MAT244 MathLectures => Ch 7 => Topic started by: Jason Hamilton on March 25, 2013, 02:24:45 PM

Are we expected to know how to use a Laplace transform to solve a nonhomogeneous system?
This material is covered in chapter 6, which I do not know if we will cover by the end of the year. I cannot think of a type of system where a solution can only be obtained from this method, so I'm hesitant to learn it if we will always be allowed to pick which method to use when solving a nonhomogeneous system.
More generally my question is, even if we do not cover it in class, how marginal will the value of this method be compared to undetermined coefficients or variation of parameters, on the final or future courses?

Are we expected to know how to use a Laplace transform to solve a nonhomogeneous system?
This material is covered in chapter 6, which I do not know if we will cover by the end of the year. I cannot think of a type of system where a solution can only be obtained from this method, so I'm hesitant to learn it if we will always be allowed to pick which method to use when solving a nonhomogeneous system.
More generally my question is, even if we do not cover it in class, how marginal will the value of this method be compared to undetermined coefficients or variation of parameters, on the final or future courses?
No, we will not. So, from point of view of this class you can ignore it.
On the other hand, Laplace transform is a mathematical foundation of the Heaviside operational calculus (http://en.wikipedia.org/wiki/Operational_calculus)
which is useful as a shortcut