Solve the Differential Equation $y ^ { \prime \prime } + 5 y ^ { \prime } - 6 y = 0$

question 40

Multiple Choice

Solve the differential equation. $y ^ { \prime \prime } + 5 y ^ { \prime } - 6 y = 0$

• A) \(y = C _ { 1 } e ^ { x } + C _ { 2 } e ^ { - 7 x }\)
• B) \(y = C _ { 1 } e ^ { - 6 x } + C _ { 2 } e ^ { - 6 x }\)
• C) \(y = \frac { C _ { 1 } e ^ { x } } { 3 } + \frac { C _ { 2 } e ^ { - 6 x } } { 2 }\)
• D) \(y = C _ { 1 } e ^ { x } + C _ { 2 } e ^ { - 6 x }\)
• E) None of these

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