After his doctorate du Bois-Reymond was appointed to teach mathematics and physics at a secondary school in Berlin. However, he continued to undertake research into applied mathematics and, as a consequence, became more and more involved with the theory of partial differential equations .
Pagkatapos ng kanyang titulo ng doktor du Bois-Reymond ay hihirangin upang magturo sa matematika at physics sa isang sekundaryong paaralan sa Berlin. Gayunman, siya ay patuloy na magsagawa ng pananaliksik sa matematika-apply na at, bilang resulta, ay naging mas at mas na kasangkot sa pamamagitan ng teorya ng bahagyang kaugalian equation.