## Math Problem Statement

y"(x)+((\omega (t))^2)*y(x)=0, where omega(t)=cos(Ωt)

## Solution

## Math Problem Analysis

### Mathematical Concepts

Differential Equations

Variable Coefficients

Periodic Functions

Floquet Theory

Hill's Equation

### Formulas

\( y''(x) + (\omega(t))^2 y(x) = 0 \)

\( \omega(t) = \cos(\Omega t) \)

### Theorems

Floquet Theory

Hill's Equation

### Suitable Grade Level

Advanced Undergraduate