Formal solutions represent series expansions that, while not necessarily convergent in the classical sense, satisfy the governing differential equations term by term. This concept has become ...

We find specific information about the possible orders of transcendental solutions of equations of the form f(n)+pn-1(z)f(n-1)+⋯ +p0(z)f=0 where p0(z), p1(z),...,pn ...

Introduces ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations, and systems of linear differential equations. Prereq., APPM 1360 ...

The unit will teach some practical aspects of matrix linear algebra that is applicable to engineering problems such as in large-scale data analysis and solution of linear differential equations. By ...

Inspired by path integral solutions to the quantum relaxation problem, we develop a numerical method to solve classical stochastic differential equations with multiplicative noise that avoids ...

Grade school math students are likely familiar with teachers admonishing them not to just guess the answer to a problem. But a new proof establishes that, in fact, the right kind of guessing is ...