History of Differential Equations

differential coefficient equations can be thought of as residual equations that relate to functions of one or much uncertain quantity stars with the derivatives of the function. They contain one or more basis that involve derivatives of a variable with respect to a nonher variable. The solutions that atomic number 18 derived from differential equations are not numbers but functions unconnected other mathematical equations. In real life, differential equations are applied in biology, physics, chemistry, political economy as well as other areas of natural science. The take away of this paper is to give a history of differential equations.\nDifferential equations trace back to a German mathematician and philosopher called Gottfried Wilhelm von Leibniz who was busy doing seek on mathematical equations and came across an equation, which could not yield a number but some other function. This presented huge conundrums for mathematicians of those days and it pass along Isaac newton to start inquisitive for methods of integrating differential equations (Dieudonné, 1981). Isaac Newton started by classifying differential equations into 3 categories. The first two categories contained indifferent derivatives of one or more independent variables with respect to a single independent variable and the third category snarly partial derivatives of one variable which was dependent on a variable.\nIn 1687, a Swiss mathematician known as crowd together Bernoulli wrote to Von Leibniz requesting he be include into the research of the new analysis of differential equations. But because Von Leibniz had travelled abroad, Bernoullis letter remained unanswered for the contiguous thirteen long time. In 1682, Von Leibniz promulgated a six foliate paper on differential calculus and two years later he publish a paper that contained the rudiments of integral calculus.\nIn the year, 1690, a mathematician known as mob Bernoulli published his solution to the probl em of the isochrones. The problem of isochrones involved a curve along a body that co...