The Solution of the Differential Equation $y ^ { \prime } = x ^ { 2 } y$

question 28

Multiple Choice

The solution of the differential equation $y ^ { \prime } = x ^ { 2 } y$ is

• A) \(y = c e ^ { x ^ { 2 } }\)
• B) \(y = c e ^ { x ^ { 3 } }\)
• C) \(y = c + e ^ { x ^ { 2 } }\)
• D) \(y = c e ^ { x ^ { 3 } / 3 }\)
• E) \(y = c + e ^ { x ^ { 3 } / 3 }\)

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