- #1
jlatshaw
- 16
- 0
Homework Statement
Given:
y''[t] + 25 y[t] = 0
I know that the solution to this DE is of the form:
y[t] = K1 E^(-5 i t) + K2 E ^(5 i t)
I get that, that makes sense to me, however when I look in old DE books I see the solution to the same problem written as:
C1 Cos[5 t] + C2 Sin[k t]
How do they get this, and how can I establish a transition between the two?
How are they related?
Thanks!
-James