For the Differential Equation, Find the Particular Solution If $y = \frac { 1 } { 2 }$

question 90

Multiple Choice

For the differential equation, find the particular solution if $y = \frac { 1 } { 2 }$ when $x = \frac { 1 } { 5 }$ . $\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { y ^ { 2 } } { x ^ { 2 } }$

• A) \(y = \frac { 1 } { 1 - 3 x }\)
• B) \(y = \frac { x } { 1 - 3 x }\)
• C) \(y = \frac { x } { 3 - x }\)
• D) \(y = - \frac { 3 } { 1 - x }\)
• E) \(y = \frac { x } { 1 + 3 x }\)

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