Linear Algebra with Differential Equations/Heterogeneous Linear Differential Equations/Laplacian Transforms

From Wikibooks, open books for an open world
Jump to navigation Jump to search

Yet AGAIN, very similar to the normal technique. The only nuance is how to take a Laplacian operator of a matrix, however, the Laplacian operator by definition is basically an integral: take the operator of each term inside the matrix. The Laplacian operator then boils the problem to an exercise of linear algebra. and the reverse Laplacian operator works the same way: on each term in the matrix. It's nearly identical to how it worked in normal differential equations.