$($a$)$ Draw a direction field for the given differential equation.

$($b$)$ Based on an inspection of the direction fleld, describe how solutions behave for large $t.$

$($c$)$ Find the general solution of the given differential equation, and use it to determine how solutions behave as $t.$

Complete #$3$ only

Chapter $2.$ F$$rst Order Differential Equation

$2$

D$2$

$y^{\text{'}}3y=t{e}^{-2t}$

$y^{\text{'}}y=t{e}^{-t}1$

$y^{\text{'}}-2y-3e^{\text{'}}$

$y^{\text{'}}2xy-2x{e}^{-t^2}$

$2y^{\text{'}}y=3r$