Solve the Boundary-Value Problem, If Possible $$y ^ { tt } + 14 y ^ { t } + 49 y = 0 , y ( 0 ) = 0 , y ( 1 ) = 3$$

question 6

Multiple Choice

Solve the boundary-value problem, if possible. $$y ^ { tt } + 14 y ^ { t } + 49 y = 0 , y ( 0 ) = 0 , y ( 1 ) = 3$$

• A) \(y ( x ) = 7 x e ^ { ( - 3 x + 3 ) }\)
• B) \(y ( x ) = 3 e ^ { ( - 7 x - 7 ) }\)
• C) \(y ( x ) = 3 x e ^ { ( - 7 x - 7 ) }\)
• D) \(y ( x ) = 3 x e ^ { ( - 7 x + 7 ) }\)
• E) No solution

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