Find the General Solution of the Linear Differential Equation $$y ^ { ttt} - 13 y ^ { tt } + 54 y ^ {t } - 72 y = 0 .$$

question 45

Multiple Choice

Find the general solution of the linear differential equation $$y ^ { ttt} - 13 y ^ { tt } + 54 y ^ {t } - 72 y = 0 .$$

• A) \(y = C _ { 1 } e ^ { 3 x } - 6 C _ { 2 } e ^ { - 6 x } + C _ { 3 } e ^ { 4 x }\)
• B) \(y = C _ { 1 } e ^ { 3 x } + C _ { 2 } e ^ { 6 x } + C _ { 3 } e ^ { 4 x }\)
• C) \(y = C _ { 1 } e ^ { - 3 x } + 6 C _ { 2 } e ^ { 6 x } + 4 C _ { 3 } e ^ { 4 x }\)
• D) \(y = C _ { 1 } e ^ { 3 x } - 6 C _ { 2 } e ^ { - 6 x } - 4 C _ { 3 } e ^ { - 4 x }\)
• E) \(y = C _ { 1 } e ^ { 3 x } + C _ { 2 } e ^ { 6 x } - 4 C _ { 3 } e ^ { - 4 x }\)

Grasp the role of flexibility, inner motivation, and risk tolerance in creativity and problem solving.

Distinguish between convergent and divergent thinking scenarios in real-world applications.

Appreciate the importance of validity in the context of psychological assessments.

Acknowledge the influence of heredity and environment on intelligence and creativity.

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