Toronto Math Forum
MAT244-2014F => MAT244 Math--Tests => MT => Topic started by: Victor Ivrii on October 29, 2014, 09:00:48 PM
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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.
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am I right?
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Yes. But it is too late: official solutions are in handouts
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Yes. But it is too late: official solutions are in handouts
Oops, I didn't know that lol.
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but t <2, how can I get ln(t-2) ?
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but t <2, how can I get ln(t-2) ?
You can get $\ln (2-t)$