Solve the Differential Equation $36 y ^ { tt } + y = 0$

question 3

Multiple Choice

Solve the differential equation.
$36 y ^ { tt } + y = 0$

• A) \(y ( x ) = c _ { 1 } \cos ( - 6 x ) + c _ { 2 } \sin ( - 6 x )\)
• B)\(y ( x ) = c _ { 1 } \cos \left( - \frac { x } { 36 } \right) + c _ { 2 } \sin \left( - \frac { x } { 6 } \right)\)
• C)\(y ( x ) = c _ { 1 } \cos \left( \frac { x } { 6 } \right) + c _ { 2 } \sin \left( \frac { x } { 6 } \right)\)
• D) \(y ( x ) = c _ { 1 } \cos ( 6 x ) + c _ { 2 } \sin ( 6 x )\)
• E) \(y ( x ) = c _ { 1 } \cos ( 36 x ) - c _ { 2 } \sin ( 36 x )\)

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