The Solution Of $y ^ { \prime \prime } - 4 y ^ { \prime } + 13 y = 0$

question 14

Multiple Choice

The solution of $y ^ { \prime \prime } - 4 y ^ { \prime } + 13 y = 0$ is

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

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