Questions tagged [differential-equations]

The tag has no usage guidance.

Filter by
Sorted by
Tagged with
9 votes
1 answer

Who invented the exponential ansatz for linear differential equations with constant coefficients?

Who invented using $e^{\lambda t}$ as ansatz for solving linear differential equations with constant coefficients?
MrYouMath's user avatar
  • 590
6 votes
1 answer

Who came up with the link between the spectrum of an operator and the poles of a meromorphic function?

From Dieudonné's "History of Functional Analysis" I learned that Picard in 1893 gave a characterization of an eigenvalue of the Laplacian as the simple pole of a meromorphic function. Is there an ...
Jan Peter Schäfermeyer's user avatar
3 votes
2 answers

History of PDE's in the 19th Century

I've been asked to write an essay on whether the work on PDE's in the 19th century belonged to applied or pure mathematics. Does anyone know of any useful sources I could use?
Bradley Hill's user avatar
3 votes
1 answer

What does the Fourier transform have to do with heat?

For example the current version of the Fourier analysis article on Wikipedia says the study is: […] named after Joseph Fourier, who showed that representing a function as a sum of trigonometric ...
natevw's user avatar
  • 197