Question 1
Solve the initial-value problem

- 2t(2x - 1) = 0, x(0) = 0.
◦ x = 2 - 2e
2t2◦ x = 1 - e
2t2◦ x =

-

e
2t2◦ x = -

+

e
2t2◦ x = -1 + e
2t2Question 2
Find an integrating factor for the differential equation

+ y = x.
◦ μ(x) = e
-x◦ μ(x) = e
x/2◦ μ(x) = e
2x◦ μ(x) = e
x◦ μ(x) = e
-2x