a) Consider the first order differential equation (+²¹² + 1) dy-0 ry'dr + By multiplying the equation with integrating factor = show that the differential equation is exact. Hence, solve the differential equation. b) Find the solution of the following Bernoulli equation dy da +2y = 2y³z. c) The amount r(t) of ethanol in a draining tank changes with time t, given by the differential equation Find r(t) if x(0) = 10. da + 1 30+ t

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