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7. (17 Points) (a) Find the general solutions of the following differential equations: i. 2'(x) = e2x + x2. 2x 3 e 2 3 ii.

7. (17 Points) (a) Find the general solutions of the following differential equations: i. 2'(x) = e2x + x2. 2x 3 e 2 3 ii. s" (t) = 12t2 + 72+7. (b) Solve the initial value problem x" (t) = sint + cost. x(7) = 2. x'(7) = 1

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