$\text { Find the general solution of the linear differential equation } y ^ { t t } + 2 y ^ { t } = 0 \text {. }$

question 26

Multiple Choice

$\text { Find the general solution of the linear differential equation } y ^ { t t } + 2 y ^ { t } = 0 \text {. }$

• A) \(y = C _ { 1 } - C _ { 2 } e ^ { - 4 x }\)
• B) \(y = C _ { 1 } + C _ { 2 } e ^ { - 2 x }\)
• C) \(y = C _ { 1 } + 2 C _ { 2 } e ^ { 2 x }\)
• D) \(y = C _ { 1 } - 2 C _ { 2 } e ^ { 2 x }\)
• E) \(y = C _ { 1 } + 4 C _ { 2 } e ^ { - 4 x }\)

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Definitions:

Oligarchical Regime

is a form of government in which power rests with a small number of people distinguished by royalty, wealth, family ties, education, corporate, or military control.

Republic

A form of government in which power resides in elected individuals representing the citizen body and government leaders exercise power according to the rule of law.

Elite Theory

A theory in political science and sociology which posits that a small minority, consisting of members of the economic elite and policy-planning networks, holds the most power—and that this power is independent of a state's democratic elections process.

Self-Interests

The focus on one's own advantages or well-being without necessarily considering those of others.