MT Problem 4

[Victor Ivrii]

Find Wronskian  $\ W(y_1,y_2,y_3)(x)\ $ of a fundamental set of solutions  $\ y_1(x)\ ,\ y_2(x)\ ,\ y_3(x)\ $ without finding the $\ y_j(x)$  ($j=1,2,3$) and then the general solution of the ODE
\begin{equation*}
(2-t)y''' + (2t-3) y'' -t y' + y = 0\ ,\ t < 2\ .
\end{equation*}
Hint: $\ e^t\ $ solves the ODE.

[Tanyu Yang]

am I right?

[Victor Ivrii]

Yes. But it is too late: official solutions are in handouts

[Tanyu Yang]

Yes. But it is too late: official solutions are in handouts

Oops, I didn't know that lol.

[Li]

but t <2, how can I get ln(t-2) ?

[Victor Ivrii]

but t <2, how can I get ln(t-2) ?

You can get $\ln (2-t)$