Student[ODEs]
LinearForm
convert a first order ODE into linear form, if possible
Calling Sequence
Parameters
Description
Examples
Compatibility
LinearForm(ODE, y(x))
ODE
-
an ordinary differential equation
y
name; the dependent variable
x
name; the independent variable
LinearForm(ODE, y(x)) outputs an equivalent linear ODE, if that is possible. If not, an error is produced.
withStudentODEs:
ode1≔t2zt+1zt+t−1diffzt,t=t2zt+1zt
ode1≔t2zt+1zt+t−1ⅆⅆtzt=t2zt+1zt
LinearFormode1,zt
ⅆⅆtzt=t2ztt−1−t2t−1
ode2≔t2zt+1+zt2t−1diffzt,t=0
ode2≔t2zt+1+zt2t−1ⅆⅆtzt=0
LinearFormode2,zt
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.
See Also
dsolve
Student
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