The Solution of the Initial Value Problem $y ^ { \prime } = 2 y + x , y ( 1 ) = 1 / 4$

question 4

Multiple Choice

The solution of the initial value problem $y ^ { \prime } = 2 y + x , y ( 1 ) = 1 / 4$ is $y = - x / 2 - 1 / 4 + c e ^ { 2 x }$ , where $c =$

• A) 2
• B) \(e ^ { - 2 }\)
• C) \(e ^ { - 1 }\)
• D) \(e ^ { - 2 } / 2\)
• E) 1

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