大家好，关于经济学的英文数学题，寻求帮助。。。1/4

Python画图代码就不用敲了，告诉我大概的思路或有个效果图就可以了，谢谢。

怕有些公式显示错误，附加了这道题的截图版，供参考。

1.Forthe following two ordinarydifferential equations:

•      = −x(t) + 1, x(0) = 0.

•   = x(t) + u(t) , x(0) = 1 , andu(t) = 1 isa unitstep functionat t = 10  

  (i.e.  u(t) = 0 if t < 10 , and u(t) = 1 if t 10).

            (a)  Find the analytic solution toeach differential equation with the associated initial condition, and report the final                    value of each state as t → ∞.

(b)  Draw a graphof x(t) with Pythonto the differential equations with the associated initial conditions. Draw a graph of the firstequation from t = 0 to t = 5, and fromt = 0 to t = 35 for the second equation. (NOTE: There is a reason I chooset=5 for Problem 1 and t=35 forProblem 2.)

===============================分割线====================================

截图版