Assignment questions: (1.1) Solve the following differential equations. If possible, express your answer in a closed form. Ja. xy' = 3y +3 b. y' = 2xy c. Find the first six terms of (x + 1)y' = (2x + 3)y. d. (1 - x4 )y' = 4x y e. y" - y = x (1.2) Find the interval of convergence for a. _n 0 x2n b. Soo (-1)" Zn 0 50 ( x - 5)" C. _nonz x" Do n( n+ 1 ) (1.3) Rewrite _n=2 72+1 "-1 so the sum starts at 0 and find the interval of convergence