Find the particular solution of the differential equation $x d y = ( x + y + 6 ) d x \text { that }$ satisfies the boundary condition $y ( 1 ) = 5$.
A) $y = 6 x \ln | x | - 10 x - 5$
B) $y = x \ln | x | + 11 x - 6$
C) $y = x \ln | x | + 11 x + 5$
D) $y = 6 x \ln | x | + 10 x - 5$
E) $y = x \ln | x | - 11 x + 6$

Question

Quizplus · Accepted Answer

The differential equation can be solved by separating variables and integrating. Applying the boundary condition $y(1) = 5$ to the general solution gives the particular solution $y = x \ln | x | + 11 x - 6$.

Find the Particular Solution of the Differential Equation xdy=(x+y+6)dx that x d y = ( x + y + 6 ) d x \text { that }xdy=(x+y+6)dx that

Find the Particular Solution of the Differential Equation $x d y = ( x + y + 6 ) d x \text { that }$