Problem $6$

Check$-$function for testing the erder of ODEs

Step $19$ Write a m$-$file function name $y=$ CheckDrder$($odes$,$ var$)$ that check the order of a given symbolic ODEs, where

odes is the given symbolic expression.

var is the symbolic expression for the function of the given odes $1$ if ode is homogeneous; $0$ if ode is inhomogeneous; $-1$ if ode is nonlinear;

HINT:

Create a vector representing the derivative of var up to a high order, like $10.$ Next, apply MATLAB's has function to identify the highest order of var present in odes. The function should then return this highest order number.