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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Valves located at the bases of the aorta and the pulmonary artery that prevent the backflow of blood into the ventricles of the heart during contraction.

Pulmonary Vein

One of the veins that carry blood from the lungs to the left atrium of the heart.

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A large vein on the posterior side of the heart that collects blood from the heart muscle and empties it into the right atrium.

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A condition marked by severe chest pain due to insufficient blood supply to the heart, often associated with coronary artery disease.