Obtaining Differential Equations from Functions
is a first order ODE,
is a second order ODE and so on. I am having trouble to obtain a differential equation from a given function. I could find the differential equation for
and the steps that I followed are as follows.
using the orginal function and (1). Finally,
which is the required differential equation.
Similarly, if the function is , the differential equation that I get is
following similar steps as above.