Discussion
F(x)=-c/b is a
Answer: B
\( F(x) = -c/b \) is a non homogeneous solution - a particular solution belonging to an equation whose right-hand side is not zero.
For \( by + c = 0 \) the constant \( y = -c/b \) satisfies the equation, and it exists only because of the constant term \( c \). Remove that term and the equation is homogeneous, whose solution would be \( y = 0 \).
The general solution of a non homogeneous linear equation is the sum of the two:
\[ y \;=\; y_{\text{homogeneous}} + y_{\text{particular}} \]
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