$\text { Find the particular solution of the differential equation } x ^ { 9 } y ^ { t} + 8 y = e ^ { 1 / x ^ { 8 } } \text { that }$

question 70

Multiple Choice

$\text { Find the particular solution of the differential equation } x ^ { 9 } y ^ { t} + 8 y = e ^ { 1 / x ^ { 8 } } \text { that }$ satisfies the initial condition $y ( 1 ) = e$ .

• A)\(y = \frac { e ^ { 1 / x ^ { 8 } } } { x ^ { 8 } }\)
• B) \(y = e ^ { 1 / x ^ { 8 } }\)
• C) \(y = \left( \frac { x ^ { 8 } + 1 } { 8 x ^ { 8 } } \right)\)
• D)\(y = e ^ { 1 / x ^ { 8 } } \left( \frac { 9 x ^ { 8 } - 1 } { 8 x ^ { 8 } } \right)\)
• E)\(y = e ^ { 1 / x ^ { 8 } } \left( 9 x ^ { 8 } - 1 \right)\)

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