Find the Particular Solution Of $\frac { d y } { d x } = \frac { x ^ { 2 } y ^ { 3 } } { 5 }$

question 14

Multiple Choice

Find the particular solution of $\frac { d y } { d x } = \frac { x ^ { 2 } y ^ { 3 } } { 5 }$ ,given y = 6 when x = 0.

• A) \(y = \frac { 2 } { \left( x ^ { 3 } - 6 \right) ^ { 2 } }\)
• B) \(y = 4 x ^ { 6 } + 6\)
• C) \(y = \sqrt { \frac { 180 } { 5 - 24 x ^ { 3 } } }\)
• D) \(y = \frac { x ^ { 3 } } { 3 } + 6\)

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