Solving Algebra: How do we go from 1 to 2?

[jimmy42]

Hello,

I am having some problem with some algebra:

1 -x(t)= −Bω2 cos(ωt) −Cω2 sin(ωt)
2 - x(t)=−ω2 x(t)

Can someone explain how we went from 1 to 2?

Thanks.

 

[tiny-tim]

hello jimmy!

i'll guess that that should read …

0 x(t)= Bcos(ωt) + Csin(ωt)

1 x''(t)= -Bω²cos(ωt) - Cω²sin(ωt)

2 x''(t) = −ω²x(t) ​