Find the Solution to the Differential Equation $x y ^ { \prime } - ( 6 + x ) y = 0$

question 106

Multiple Choice

Find the solution to the differential equation $x y ^ { \prime } - ( 6 + x ) y = 0$ with $y ( 1 ) = 1$ , $y ( x ) \geq 0$ for all x.

• A) \(y = x ^ { 7 } e ^ { x }\)
• B) \(y = x ^ { 7 } e ^ { x - 1 }\)
• C) \(y = x ^ { 6 } e ^ { x - 1 }\)
• D) \(y = x ^ { 6 } e ^ { x } + 1 - e\)

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