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

question 49

Multiple Choice

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

• A) \(y ( x ) = c _ { 1 } \cos \left( - \frac { x } { 4 } \right) + c _ { 2 } \sin \left( - \frac { x } { 2 } \right)\)
• B) \(y ( x ) = c _ { 1 } \cos ( 4 x ) - c _ { 2 } \sin ( 4 x )\)
• C) \(y ( x ) = c _ { 1 } \cos ( 2 x ) + c _ { 2 } \sin ( 2 x )\)
• D) \(y ( x ) = c _ { 1 } \cos ( - 2 x ) + c _ { 2 } \sin ( - 2 x )\)
• E) \(y ( x ) = c _ { 1 } \cos \left( \frac { x } { 2 } \right) + c _ { 2 } \sin \left( \frac { x } { 2 } \right)\)

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