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

question 125

Multiple Choice

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

• 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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Long-term Capital Gain

A profit from the sale of an asset held for more than a year, typically taxed at a lower rate than regular income.

Section 1245

A section of the U.S. Internal Revenue Code that defines the tax treatment of the gain from the sale of depreciable property.

Recapture

A process in which previously deducted or credited amounts are added back to taxable income or tax liability under certain conditions.

Short-term Capital Gain

A profit from the sale of an asset held for one year or less, taxed as ordinary income.