Solve the First Order Linear Differential Equation $$\frac { d y } { d x } + \frac { 8 } { x } y = 7 x + 2$$

question 4

Multiple Choice

Solve the first order linear differential equation. $$\frac { d y } { d x } + \frac { 8 } { x } y = 7 x + 2$$

• A) \(y = \frac { 7 } { 10 } x ^ { 2 } - \frac { 2 } { 9 } x + C x ^ { - 8 }\)
• B) \(y = \frac { 10 } { 7 } x ^ { 2 } + \frac { 9 } { 2 } x + C x ^ { - 8 }\)
• C) \(y = - \frac { 7 } { 10 } x ^ { 2 } + \frac { 2 } { 9 } x + C x ^ { - 8 }\)
• D) \(y = - \frac { 10 } { 7 } x ^ { 2 } + \frac { 9 } { 2 } x + C x ^ { - 8 }\)
• E) \(y = \frac { 7 } { 10 } x ^ { 2 } + \frac { 2 } { 9 } x + C x ^ { - 8 }\)

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