Question: 1. A differential equation is called Bernoullitype if it has the form 3/ + P (y 2 yQ(a), Where n 75 1 and Q(:c) 79

1. A differential equation is called Bernoullitype if it has the form 3/ + P (y 2 y\"Q(a), Where n 75 1 and Q(:c) 79 0 (the equation was formulated by Jacob and solved by Johann Bernoulli). (60 points) (a) Prove that using a transformation 21(33) 2 y_\"+1, the equation reduces to a rst order linear differential equation in 11(33) (b) Solve the differential equation 3/ + y = y2(cos:1: sin :6)

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