Student[ODEs]
DifferentialOrder
find the differential order of an ODE
Calling Sequence
Parameters
Description
Examples
Compatibility
DifferentialOrder(expr)
DifferentialOrder(expr, x)
DifferentialOrder(expr, y(x))
expr

an expression
x
name; the independent variable
y
name; the dependent variable
When called with the single argument expr, DifferentialOrder(expr) returns the differential order of the highest derivative found in expr.
When called with a second argument x which is a name, DifferentialOrder(expr, x) returns the differential order of the highest derivative of a function with respect to the variable x that is found in expr.
Finally, when called with a second argument y(x) which is a function of a single argument, DifferentialOrder(expr, y(x)) returns the differential order of the highest derivative of y(x) with respect to x that is found in expr.
$\mathrm{with}\left(\mathrm{Student}\left[\mathrm{ODEs}\right]\right)\:$
$\mathrm{ode1}\u2254\mathrm{diff}\left(y\left(t\right)\,t\,t\right)+\left(z\left(t\right)+1\right)+{z\left(t\right)}^{2}\left(t1\right)\mathrm{diff}\left(z\left(t\right)\,t\right)=\mathrm{diff}\left(f\left(x\right)\,x\,x\,x\right)$
${\mathrm{ode1}}{\u2254}\frac{{{\ⅆ}}^{{2}}}{{\ⅆ}{{t}}^{{2}}}\phantom{\rule[0.0ex]{0.4em}{0.0ex}}{y}{}\left({t}\right){+}{z}{}\left({t}\right){+}{1}{+}{{z}{}\left({t}\right)}^{{2}}{}\left({t}{}{1}\right){}\left(\frac{{\ⅆ}}{{\ⅆ}{t}}\phantom{\rule[0.0ex]{0.4em}{0.0ex}}{z}{}\left({t}\right)\right){=}\frac{{{\ⅆ}}^{{3}}}{{\ⅆ}{{x}}^{{3}}}\phantom{\rule[0.0ex]{0.4em}{0.0ex}}{f}{}\left({x}\right)$
$\mathrm{DifferentialOrder}\left(\mathrm{ode1}\right)$
${3}$
$\mathrm{DifferentialOrder}\left(\mathrm{ode1}\,t\right)$
${2}$
$\mathrm{DifferentialOrder}\left(\mathrm{ode1}\,z\left(t\right)\right)$
${1}$
The Student[ODEs][DifferentialOrder] command was introduced in Maple 2021.
For more information on Maple 2021 changes, see Updates in Maple 2021.
See Also
PDEtools[difforder]
Student
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