Find the General Solution of the Differential Equation $\frac { \mathrm { d } y } { \mathrm {~d} x } = 12 x y$

question 101

Multiple Choice

Find the general solution of the differential equation. $\frac { \mathrm { d } y } { \mathrm {~d} x } = 12 x y$
Solve for y as a function of x.

• A) \(y = C e ^ { x ^ { 2 } } + 6\)
• B) \(y = C e ^ { 6 x ^ { 2 } }\)
• C) \(y = C e ^ { 12 x }\)
• D) \(y = C e ^ { 6 x }\)
• E) \(y = e ^ { 6 x ^ { 2 } } + C\)

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