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Work Problem [15 points) Write step-by-step solutions and justify your answers. Consider the differential equation dy = xy 3y. dx (A) (10 points) Solve the

Work Problem [15 points) Write step-by-step solutions and justify your answers. Consider the differential equation dy = xy 3y. dx (A) (10 points) Solve the given differential equation by separation of variables. (B) (5 points] Find a solution that satisfies the initial condition y(4) = 2

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