Question

asked 2021-05-27

\(\displaystyle{\frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}}={z},{\frac{{{\left.{d}{z}\right.}}}{{{\left.{d}{x}\right.}}}}={F}{\left({x},{y},{z}\right)}.\)

Can something similar be done to the nth-order differential equation

\(\displaystyle{y}^{{{\left({n}\right)}}}={F}{\left({x},{y},{y}',{y}{''},\ldots,{y}^{{{\left({n}-{1}\right)}}}\right)}?\)

asked 2020-10-23

Write the first order differential equation for \(y=2-\int_0^x(1+y(t))\sin tdt\)

asked 2021-05-23

asked 2021-05-12