4. (a) Determine if each of the following equations is autonomous and find all equilibrium solutions (if any), (b) sketc
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4. (a) Determine if each of the following equations is autonomous and find all equilibrium solutions (if any), (b) sketc
4. (a) Determine if each of the following equations is autonomous and find all equilibrium solutions (if any), (b) sketch the direction field in the given rectangular plane of the ty- plane, and (c) sketch a rough solution curve at the given point. (Show matching slope numbers) (i) y' = y² − 3y – 4 (ii) y' = t² - y at (0, 1) in 0 ≤ t ≤ 4 and -2 ≤ y ≤ 4 at (-2, 0) in -3 ≤ t ≤ 3 and 0 ≤ y ≤ 3
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