Solve the Initial-Value Problem $x y ^ { \prime } - y = x \ln x , \quad y ( 1 ) = 3$

question 51

Multiple Choice

Solve the initial-value problem.
$x y ^ { \prime } - y = x \ln x , \quad y ( 1 ) = 3$

• A) \(y ( x ) = 3 x ( \ln x ) ^ { 2 }\)
• B)
• \(y ( x ) = \frac { 1 } { 2 } x ( \ln x ) ^ { 2 } + 3 x\)
• C)
• \(y ( x ) = 3 x \ln x + \frac { 1 } { 2 } x\)
• D)
• \(y ( x ) = 3 \ln x + \frac { 1 } { 2 } x\)
• E)
• \(y ( x ) = \frac { 1 } { 2 } ( \ln x ) ^ { 3 } + x\)

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