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Find the Particular Solution of the Differential Equation 3yx8dx+[3ln(x8)+10y]dy=0\frac { 3 y } { x - 8 } d x + [ 3 \ln ( x - 8 ) + 10 y ] d y = 0

Question 18

Multiple Choice

Find the particular solution of the differential equation 3yx8dx+[3ln(x8) +10y]dy=0\frac { 3 y } { x - 8 } d x + [ 3 \ln ( x - 8 ) + 10 y ] d y = 0 that satisfies the initial condition y(9) =2y ( 9 ) = 2


A) 3yln(x8) +5y=103 y \ln ( x - 8 ) + 5 y = 10
B) 3yln(x8) +5y2=203 y \ln ( x - 8 ) + 5 y ^ { 2 } = 20
C) 3y(x8) +10y=263 y ( x - 8 ) + 10 y = 26
D) 3yln(x8) +10y=203 y \ln ( x - 8 ) + 10 y = 20
E) 3y(x8) +5y2=26\frac { 3 y } { ( x - 8 ) } + 5 y ^ { 2 } = 26

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