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

Question 30

Multiple Choice

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


A) y=ln(5x+9) +Cy = \ln ( 5 x + 9 ) + C
B) y=94xx18+Cy = - \frac { 9 } { 4 } x - x ^ { 18 } + C
C) y=56x9+Cy = \frac { 5 } { 6 } x ^ { 9 } + C
D) y=59x+Cx5y = \frac { 5 } { 9 } x + C \cdot x ^ { 5 }
E) y=58x+Cx9y = - \frac { 5 } { 8 } x + C \cdot x ^ { 9 }

Correct Answer:

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