Question: Use the method of Exercise 8.1.7 to solve the following initial value problems: (a) du/dt = 2u - 1, u(0) = 1, (b) du/dt =

Use the method of Exercise 8.1.7 to solve the following initial value problems:
(a) du/dt = 2u - 1, u(0) = 1,
(b) du/dt = 5u + 15, u(1) = -3.
(c) du/dt = -3u + 6. u(2) = -1.

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