For the Differential Equation, Find the Particular Solution If $y \left( \frac { 1 } { 7 } \right) = e ^ { 7 }$

question 16

Multiple Choice

For the differential equation, find the particular solution if $y \left( \frac { 1 } { 7 } \right) = e ^ { 7 }$ $x ^ { 2 } \frac { \mathrm { d } y } { \mathrm {~d} x } = y$

• A) \(y = e ^ { 14 - \frac { 1 } { x } }\)
• B) \(y = e ^ { 14 - x }\)
• C) \(y = e ^ { 14 + \frac { 1 } { x } }\)
• D) \(y = 14 e ^ { - \frac { 1 } { x } }\)
• E) \(y = e ^ { 1 - \frac { 14 } { x } }\)

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