Let a, b R. Convert the constant coefficient second-order differential equation y __ (t) + ay _ (t) + by(t) = 0 into a first-order system by letting x(t) = _ y(t) y _ (t) _ . Considering separately the cases a2 4b _= 0 and a2 4b = 0, use matrix exponentials to find the general solution.

Finite Mathematics Chapter 3 Section 1.1 Operations Identities 0 - Zero Addition/ Subtraction 1 - One Multiplication/ Division Zero is the additive Identity as displayed above. You can add or subtract zero from any number without changing that number's value. One is the multiplicative identity as displayed above. You...