convert a first order ODE into linear form, if possible
an ordinary differential equation
name; the dependent variable
name; the independent variable
LinearForm(ODE, y(x)) outputs an equivalent linear ODE, if that is possible. If not, an error is produced.
ode1 ≔ t2⁢z⁡t+1z⁡t+t−1⁢ⅆⅆt⁢z⁡t=t2⁢z⁡t+1z⁡t
ode2 ≔ t2⁢z⁡t+1+z⁡t2⁢t−1⁢ⅆⅆt⁢z⁡t=0
Error, (in Student:-ODEs:-LinearForm) the ODE, t^2*(z(t)+1)+z(t)^2*(t-1)*diff(z(t),t) = 0, does not appear to be linearizable, at least without further simplification.
The Student[ODEs][LinearForm] command was introduced in Maple 2021.
For more information on Maple 2021 changes, see Updates in Maple 2021.
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