Math Problem Statement

Solve the differential equation y'' + y' + y = 0.

Solution

The

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Math Problem Analysis

Mathematical Concepts

Differential Equations
Second-order Linear Equations
Homogeneous Equations

Formulas

General solution for homogeneous differential equations: y(t) = C1 * e^(r1 * t) + C2 * e^(r2 * t)

Theorems

Solution to linear homogeneous differential equations with constant coefficients

Suitable Grade Level

Grades 11-12