Find the Particular Solution of the Differential Equation $x d y = ( x + y + 6 ) d x \text { that }$

question 29

Multiple Choice

Find the particular solution of the differential equation $x d y = ( x + y + 6 ) d x \text { that }$ satisfies the boundary condition $y ( 1 ) = 5$ .

• A) \(y = 6 x \ln | x | - 10 x - 5\)
• B) \(y = x \ln | x | + 11 x - 6\)
• C) \(y = x \ln | x | + 11 x + 5\)
• D) \(y = 6 x \ln | x | + 10 x - 5\)
• E) \(y = x \ln | x | - 11 x + 6\)

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