Question 1
Find a homogeneous linear second-order differential equation with constant coefficient having general solution y = c
1 e
-10t + c
2 t e
-10t.
◦ y" + 20y' + 100y = 0
◦ y" + 10y' + 100y = 0
◦ y" - 20y' - 100y = 0
◦ y" + 20y' - 100y = 0
◦ y" - 20y' + 100y = 0
Question 2
Find a homogeneous linear second-order differential equation with constant coefficient having general solution y = e
t
.
◦ y" + 2y' + y = 0
◦ y" - 2y' - y = 0
◦ y" - 2y' + y = 0
◦ y" + 2y' - y = 0
◦ y" + 2y' + 2y = 0