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Question 51
Solve the homogeneous differential equation yt=5x+9yx\text { Solve the homogeneous differential equation } y ^ { t } = \frac { 5 x + 9 y } { x } Solve the homogeneous differential equation yt=x5x+9y
A) y=ln(5x+9) +Cy = \ln ( 5 x + 9 ) + Cy=ln(5x+9) +C B) y=−94x−x18+Cy = - \frac { 9 } { 4 } x - x ^ { 18 } + Cy=−49x−x18+C C) y=56x9+Cy = \frac { 5 } { 6 } x ^ { 9 } + Cy=65x9+C D) y=59x+C⋅x5y = \frac { 5 } { 9 } x + C \cdot x ^ { 5 }y=95x+C⋅x5 E) y=−58x+C⋅x9y = - \frac { 5 } { 8 } x + C \cdot x ^ { 9 }y=−85x+C⋅x9
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