Toronto Math Forum
MAT2442014F => MAT244 MathTests => MT => Topic started by: Victor Ivrii on October 29, 2014, 09:00:48 PM

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*}
(2t)y''' + (2t3) y'' t y' + y = 0\ ,\ t < 2\ .
\end{equation*}
Hint: $\ e^t\ $ solves the ODE.

am I right?

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

Yes. But it is too late: official solutions are in handouts
Oops, I didn't know that lol.

but t <2, how can I get ln(t2) ?

but t <2, how can I get ln(t2) ?
You can get $\ln (2t)$