Consider the following DE:

$x^{\text{'}}=2x-t.$

$($a$)$ Sketch the direction$/$slope field of the DE$.$ You may either sketch it by hand or use software, such as a web

app or Matlab $($in this case, please cite the software you use$).$ On the figure, sketch $($by hand or using the

software$)$ several solution curves.

$($b$)$ Based on the direction$/$slope field, are there any constant solutions? $($Yes or no$.)$

$($c$)$ Find the general solution of the DE and provide a sketch of this family of solutions $($either by hand or using

software $-$ please cite what you use in the latter case$).$