Question: 2. Consider a differential equation y' y - 3x - for x > 0. I (a) Is the ODE separable or/and linear or/and autonomous?


2. Consider a differential equation y' y - 3x - for x

2. Consider a differential equation y' y - 3x - for x > 0. I (a) Is the ODE separable or/and linear or/and autonomous? (b) Is y = 0 a trivial solution of the ODE? * (c-d) Let the initial condition is given as y(1) = 1. (c) Determine the region satisfying the existence and uniqueness of the solution of this IVP. (d) Find the unique solution of the IVP.

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