## Math Problem Statement

## Solution

## Ask a new question for Free

### By Image

Drop file here or Click Here to upload

## Math Problem Analysis

### Mathematical Concepts

Differential Equations

Characteristic Equation

Complex Roots

Second-Order Linear Differential Equations

### Formulas

Characteristic equation: r^2 - 4r + 29 = 0

Quadratic formula: r = (-b ± √(b^2 - 4ac)) / 2a

General solution for complex roots: y(t) = e^(αt)(c1 cos(βt) + c2 sin(βt))

### Theorems

Solution to homogeneous linear differential equations with constant coefficients

Quadratic formula

### Suitable Grade Level

Undergraduate Mathematics

## Related Recommendation

Solve 9y'' - 12y' + 4y = 0: Characteristic Equation and General Solution

Solving Second-Order Homogeneous Differential Equation y'' + 4y' + 5y = 0

Solving the Second-Order Differential Equation 9y'' + 18y' + 19y = 0

Solving the Differential Equation 2y'' + 5y' - 3y = 0 Using the Characteristic Equation

Solving Third-Order Linear Homogeneous Differential Equation