Solve the Differential Equation $x ^ { 2 } \frac { d y } { d x } - y = 2 x ^ { 3 } e ^ { - 1 / x }$

question 26

Multiple Choice

Solve the differential equation. $x ^ { 2 } \frac { d y } { d x } - y = 2 x ^ { 3 } e ^ { - 1 / x }$

• A) \(y = C e ^ { - 2 / x }\)
• B) \(y = x ^ { 2 } e ^ { - 1 / x } + C e ^ { - 1 / x }\)
• C) \(y = C x e ^ { 2 x }\)
• D) \(y = e ^ { 1 / x } x + C e ^ { 1 / x }\)
• E) \(\text { none of these }\)

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