Solve the Differential Equation $y ^ { \prime \prime } - 4 y ^ { \prime } + 13 y = 0$

question 35

Multiple Choice

Solve the differential equation. $y ^ { \prime \prime } - 4 y ^ { \prime } + 13 y = 0$

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

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