Suppose a. This system of linear differential equations can be put in the form Y' Determine P(t) and F (t). b. Is the system homogeneous or nonhomogeneous? Choose [(t + 6) y₁ (t - 5) y₂ Interval: help (inequalities) = = = 9t y₁ +9y2, 8 y₁ + 4t y2, P(t) Y + F(t). P(t) = F (t) y₁ (1) = 0, y2 (1) = 2. (88) 181 c. Find the largest interval a < t < b such that a unique solution of the initial value problem is guaranteed to exist.

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