Solve the Boundary-Value Problem, If Possible $$y ^ { tt } + 5 y ^ { t } - 14 y = 0 , y ( 0 ) = 0 , y ( 2 ) = 1$$

question 43

Multiple Choice

Solve the boundary-value problem, if possible.
$$y ^ { tt } + 5 y ^ { t } - 14 y = 0 , y ( 0 ) = 0 , y ( 2 ) = 1$$

• A) \(y ( x ) = \left( e ^ { 4 } - e ^ { - 14 } \right) ^ { - 1 } \left( e ^ { 2 x } - e ^ { - 7 x } \right)\)
• B) \(y ( x ) = \left( e ^ { 2 } - e ^ { - 14 } \right) \left( e ^ { 2 x } - e ^ { - 7 x } \right)\)
• C) \(y ( x ) = \left( e ^ { 7 } - e ^ { - 14 } \right) ^ { - 1 } \left( e ^ { x } - e ^ { - 7 x } \right)\)
• D) \(y ( x ) = \left( e ^ { 2 } - e ^ { - 14 } \right) ^ { - 1 } \left( e ^ { 2 x } - e ^ { - 7 x } \right)\)
• E) No solution

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