Question: Assignment questions: (1.1) Solve the following differential equations using a power series. If possible, express your answer in a closed form. a. xy' =3y+3 by,

Assignment questions: (1.1) Solve the following differential equations using a power

Assignment questions: (1.1) Solve the following differential equations using a power series. If possible, express your answer in a closed form. a. xy' =3y+3 by, ' =2y c. Find the first six terms of (x + 1)y' = (2x + 3)y. d. (1x%y' =4ax3y e. y' y=x ( 1.2) Find the interval of convergence for (1.3) Rewrite >0, %%i)x\"_l so the sum starts at and find the interval of convergence. [

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