$(2$ points$)$

Find the general solution to the homogeneous differential equation

d$2$ydt$29$dydt$10$y$=0$d$2$ydt$29$dydt$10$y$=0$

The solution can be written in the form

y$=$C$1$er$1$t$+$C$2$er$2$ty$=$C$1$er$1$t$+$C$2$er$2$t

with

r$1$