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Differential Equations facts

While investigating facts about Differential Equations Pdf and Differential Equations Calculator, I found out little known, but curios details like:

A plane was grounded after a professor was mistook doing math and differential equations for designing a bomb.

how to solve differential equations?

John Leray, a French Mathematician who concealed his proficiency with differential equations to avoid working for the Nazis. While in a POW camp, he developed sheaves, sheaf cohomology, and spectral sequences which are important tools for modern Algebraic Geometry

What are partial differential equations?

In my opinion, it is useful to put together a list of the most interesting details from trusted sources that I've come across answering what are ordinary differential equations. Here are 12 of the best facts about Differential Equations Solver and Differential Equations Examples I managed to collect.

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  1. About the 1936 built Russian computer that ran on water and solved partial differential equations.

  2. Almost a decade before the US built ENIAC, the Soviet Union were using water-computers to solve differential equations and other complex calculations. These hydraulic computers were still in use up to the 1980s.

  3. On June 21, 1894 he defended his thesis and received his PhD in mathematics in the field of differential equations.

  4. In 1771 he published works on differential equations and finite differences and researched mathematical concepts of probability and statistics.

  5. Some of the lectures he gave on partial differential equations eventually formed much of the material for Sommerfeld's textbook, Lectures on Theoretical Physics.

  6. The hydraulic integrator, the first computer to solve partial differential equations, it was a network of water pipes and reservoirs. The simplest hydraulic integrator is a bath tub.

  7. The Water Integrator was a Soviet analog computer built in 1928. It used manipulation of water through interconnected pipes and pumps. The water level in the chambers stored numbers, and flow rate represented operations. The machine was capable of solving non-homogeneous differential equations.

  8. There is a method to solve certain differential equations called the "Annihaltor Approach"

  9. There is a Ponytail Equation, a fourth order non-linear differential equation relating the shape of a ponytail to length and curliness of hair. It also features a Rapunzel number and led to a Nobel Prize for its authors

  10. Weather cannot be accurately predicted past three weeks due to predictions of chaos theory, as small perturbations in initial conditions create massive, unpredictable changes in long term solutions to the differential equations describing the behavior of the system

differential equations facts
What are linear differential equations?

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