Abstract

Citation

Researchers should cite this work as follows:

• Elishakoff, I. (2023). 2019_Isaac_Eshakoff-Differential_Equations_of_Love_and_Love_of_Differential_Equations. SIMIODE, QUBES Educational Resources. doi:10.25334/DVMS-JV52

  BibTex | EndNote

Article Context

Description

Elishakoff, Isaac. 2019.   Differential Equations of Love and Love of Differential Equations. Journal of Humanistic Mathematics. 9(2): 1-22.

See https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1549&context=jhm. Accessed 8 March 2023.

Synopsis
In this paper, simple ordinary differential equations are discussed against the background of William Shakespeare’s Romeo and Juliet. In addition, a version of this relationship in a somewhat opposite setting is considered. It is proposed that engineering mathematics courses include this topic in order to promote additional interest in differential equations. In the final section it is shown that vibration of a single-degree-of-freedom mechanical system can be cast as a love-hate relationship between its displacement and velocity, and dynamic instability identified as a transition from trigonometric love to hyperbolic.

Keywords: Shakespeare, Romeo and Juliet, love, model, system, love-hate, jealousy