Use Power Series to Solve the Differential Equation $$y ^ { t } = 4 x y .$$

question 3

Multiple Choice

Use power series to solve the differential equation. $$y ^ { t } = 4 x y .$$

• A)\(y ( x ) = c e ^ { - \frac { 4 x ^ { 2 } } { 2 } }\)
• B) \(y ( x ) = c e ^ { \frac { 4 x ^ { 2 } } { 2 } }\)
• C) \(y ( x ) = e ^ { - \frac { x ^ { 2 } } { 2 } }\)
• D) \(y ( x ) = c e ^ { 4 x }\)
• E)\(y ( x ) = 4 e ^ { \frac { x ^ { 2 } } { 2 } }\)

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