## Friday, June 29, 2012

### Linear ordinary differential operators

Linear ordinary differential operators are endomorphisms of differentiable vector spaces, and they can be decomposed into separate functions that handle the complementary solution $y_c$ and the particular solution $y_p$ of a differential vector space.

Linear differential operators are inverted by linear integral operators, for example, the diff operator is inverted by antidiff. A variety of methods can be used to make linear differential operators invertible including laplace transforms and series methods.