- #1
Dusty912
- 149
- 1
Homework Statement
consider any damped harmonic oscillator equation
m(d2t/dt2 +bdy/dt +ky=0
a. show that a constant multiple of any solution is another solution
b. illustrate this fact using the equation
(d2t/dt2 +3dy/dt +2y=0
c. how many solutions to the equation do you get uf you use this observatiob along with duess-and-test method described in this section?
Homework Equations
guess-and-test method. subbing est for y, and then solving for s value to obtain two solutions
The Attempt at a Solution
now I know for (a) I am supposed to sub in ky(t) into the damped harmonic oscillator. but I am stuck from there. I am not really sure what kind of answer this question is looking for. Any help would be appreciated.