Find the Solution to the Differential Equation $\frac { d y } { d x } = x y$

question 63

Multiple Choice

Find the solution to the differential equation $\frac { d y } { d x } = x y$ satisfying $y ( 0 ) = 3$ .

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

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