Use Power Series to Solve the Differential Equation $y ^ { \prime } = 7 x ^ { 3 } y$

question 45

Multiple Choice

Use power series to solve the differential equation. $y ^ { \prime } = 7 x ^ { 3 } y$

• A) \(y ( x ) = 7 e ^ { \frac { x ^ { 4 } } { 4 } }\)
• B) \(y ( x ) = c e ^ { 7 x }\)
• C) \(y ( x ) = e ^ { - \frac { x ^ { 4 } } { 4 } }\)
• D) \(y ( x ) = c e ^ { - \frac { 7 x ^ { 4 } } { 4 } }\)
• E) \(y ( x ) = c e ^ { \frac { 7 x ^ { 4 } } { 4 } }\)

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