- #1

LabRat

- 3

- 0

x’+ αx = 0

z’= βy

x + y + z = γ

solve for x(t), y(t), and Z(t) subject to intitial conditions

z(0)=z'(0)=0

for these cases: α≠β,α=β

My approach…I would like set the equation such that:

x’+ αx = 0

z’ – βy = 0

and set

L1= 1, L2=α,

L3= 1, L4= -β

(Where α≠β, α=β for the 2 cases) and use Cramer’s rule to solve…but I am missing the relationship between all three: x + y + z = γ

What I am missing? I have never done a problem with 3 variables.