MAT244--2020F > Quiz 5

LEC5101 quiz#5 FiveC

(1/1)

Xun Zheng:
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:
Was $y_2(t)$ given? I had same question but only $y_1(t)$ was given.

Tinahu0906:
Same here. I got the same with only y1 given.