$\text { Solve the homogeneous differential equation } y ^ { t } = \frac { 5 x + 9 y } { x }$

question 30

Multiple Choice

$\text { Solve the homogeneous differential equation } y ^ { t } = \frac { 5 x + 9 y } { x }$

• A) \(y = \ln ( 5 x + 9 ) + C\)
• B) \(y = - \frac { 9 } { 4 } x - x ^ { 18 } + C\)
• C) \(y = \frac { 5 } { 6 } x ^ { 9 } + C\)
• D) \(y = \frac { 5 } { 9 } x + C \cdot x ^ { 5 }\)
• E) \(y = - \frac { 5 } { 8 } x + C \cdot x ^ { 9 }\)

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