Determine the 6th order power series solution of the following ODEs with initial values. a. f''(x)-3f'(x) +2f(x) = 4 with f(0)= 1 and f'(0) = 0 Note: f''(x) = 4 + 3f'(x) - 2f(x) such that f'''(x) = 3f"(x) - 2f'(x) b. f"(x) + f(x) = x with f(0) = 0 , f'(0) = 2 Note: f''(x) = x - f(x) such that f'''(x) = 1-f'(x) and f4(x) = -f''(x)

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