Match the slope fields in the following figures with their differential equations. For each differential equation, briefly explain$/$justify your choice of slope field.

$[$Note: each slope field below is graphed for $-5x5,-5y5.]$

$($a$)y^{\text{'}}=-y$

$($b$)y^{\text{'}}=y$

$($c$)y^{\text{'}}=x$

$($d$)y^{\text{'}}=\frac{1}{y}$

$($e$)y^{\text{'}}=y^2$