Question: a) Determine whether the differential equation xy + y = 1+x - is linear or nonlinear? - separable or non-separable? - homogeneous or non-homogeneous? Give

a) Determine whether the differential equation xy + y = 1+x

a) Determine whether the differential equation xy + y = 1+x - is linear or nonlinear? - separable or non-separable? - homogeneous or non-homogeneous? Give reasons to your answers. b) Find a particular solution subject to the initial condition y(1) = In 2. c) Using any available technology, plot the solution in the interval 1

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