Put a T in the blank in the first column for each differential equation that is linear, if the differential equation is not linear. Similarly, put a $T$ in the blank in the second column for each differential equation that is separable, $F$ if the differential equation is not separable.

$(12$ points$)$

$\backslash$table$[[$Differential equation,Linear,Separable$],[x{y}^{\text{'}}=3e^{x}y-cos(2x),,],[y^{\text{'}}=xy-3x,,],[y^{\text{'}}=\frac{x^2-1}{y+1},,]]$