Consider the differential equation $y^{\text{'}}=t+y$

a$)$ Classify the differential equation.

b$)$ Sketch the direction field over the square $-2t2,$

$-2y2.$ Include the calculations you made.

c$)$ Draw a solution curve for the initial condition $(1,0).$

d$)$ What do you notice about the slopes along the line $y=-t?$ What about $y=-t+2?$

Use Sage to verify your answer to $3$a above. Give the code and describe what each part of the code does.