Toronto Math Forum
MAT2442020F => MAT244Test & Quizzes => Quiz 5 => Topic started 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*}
(1t)y''+ty'y=2(t1)^{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:

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

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