In this chapter, we shall study the applications of linear differential equations to various physical problems. Such equations play a dominant role in unifying seemingly different theories of ...

An intermediate level course in the analytical and numerical study of ordinary differential equations, with an emphasis on their applications to the real world. Exact solution methods for ordinary ...

Uncover the latest and most impactful research in Partial Differential Equations on Manifolds. Explore pioneering discoveries, insightful ideas and new methods from leading researchers in the field.

Certain electromagnetic devices such as differential transformers are effective at translating the displacement of a magnetic armature into an AC voltage, which is a linear function of the ...

Mathematicians finally understand the behavior of an important class of differential equations that describe everything from water pressure to oxygen levels in human tissues. The trajectory of a storm ...