Author Topic: LEC5101 quiz#5 FiveC  (Read 378 times)

Xun Zheng

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LEC5101 quiz#5 FiveC
« on: November 05, 2020, 09:20:01 PM »
Verify that the given functions y1 and y2 satisfy the corresponding homogeneous equation; then find a particular solution of the given inhomogeneous equation:
\begin{equation*}
    (1-t)y''+ty'-y=2(t-1)^{2}e^{-t}, 0<t<1;
\end{equation*}
\begin{equation*}
    y_1(t)=e^{t}, y_2(t)=t.
\end{equation*}
Here is my solution:

David Farrell

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Re: LEC5101 quiz#5 FiveC
« Reply #1 on: November 06, 2020, 01:57:49 AM »
Was $y_2(t)$ given? I had same question but only $y_1(t)$ was given.

Tinahu0906

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Re: LEC5101 quiz#5 FiveC
« Reply #2 on: November 06, 2020, 12:18:38 PM »
Same here. I got the same with only y1 given.