Question: a. Express 8x - 18/(3x 8)(x 2) in partial fractions. b Given that x 3, find the general solution to the differential

a. Express 8x - 18/(3x − 8)(x − 2) in partial fractions.

b Given that x ≥ 3, find the general solution to the differential equationdy dx (x-2)(3x - 8)- = (8x - 18)y

c. Hence find the particular solution to this differential equation that satisfies y = 8 at x = 3, giving your answer in the form y = f(x).

dy dx (x-2)(3x - 8)- = (8x - 18)y

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