analytic solutions separation of variables

Consider the differential equation dy dx + y x = x, x > 0. Which of the methods of finding analytic solutions of differential equations described in Unit 1 would you use to solve this equation? Briefly justify your answer. Find the general solution of the differential equation, expressing y explicitly as a function of x. Hence find the particular solution of the differential equation that satisfies the initial condition y(1) = 1.

I have 3 questions like that and need an answer until Wednesday. Any help would be great.

 

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