Find the Solution to the Differential Equation $\frac { d y } { d x } = \frac { 6 x } { y }$

question 129

Multiple Choice

Find the solution to the differential equation $\frac { d y } { d x } = \frac { 6 x } { y }$ passing through $( 1,6 )$ .

• A) \(y ^ { 2 } = 6 x ^ { 2 } + 30\)
• B) \(6 y ^ { 2 } = x ^ { 2 } + 215\)
• C) \(y ^ { 2 } + 6 x ^ { 2 } = 42\)
• D) \(6 y ^ { 2 } + x ^ { 2 } = 217\)

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