Wednesday, 27 November 2019

Definition of ordinary differential equation

Is a differential equation ordinary if it only contains derivatives with respect to one variable, even if the function has multiple variables?



For example the function y=f(x,t) and the differential equation
$\frac{d^2y}{dx^2}+2\frac{dy}{dx}=4$ would that be ordinary are partial?




Does the question not make sense because if you already know how many (independent) variables the function (in this case $y$) depends on, then it wouldn't be a differential equation because the function isn't unknown?

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