Toronto Math Forum

MAT244--2020F => MAT244--Test & Quizzes => Quiz 5 => Topic started by: Xun Zheng on November 05, 2020, 09:20:01 PM

Title: LEC5101 quiz#5 FiveC
Post by: Xun Zheng 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:
Title: Re: LEC5101 quiz#5 FiveC
Post by: David Farrell on November 06, 2020, 01:57:49 AM
Was $y_2(t)$ given? I had same question but only $y_1(t)$ was given.
Title: Re: LEC5101 quiz#5 FiveC
Post by: Tinahu0906 on November 06, 2020, 12:18:38 PM
Same here. I got the same with only y1 given.