Let \(y\) be a solution of \[ y'''-y=0 \] such that \(y(t)\to0\) as \(t\to\infty\). Show that \[ y(0)+y'(0)+y''(0)=0. \]
Decaying solutions of $y'''=y$
P-BKS19-1A
- Area
- Prelim
- Seen at
- BERKELEY
- Years
- 2019
- Status
- draft
P-BKS19-1A
Let \(y\) be a solution of \[ y'''-y=0 \] such that \(y(t)\to0\) as \(t\to\infty\). Show that \[ y(0)+y'(0)+y''(0)=0. \]