Consider the following differential equation. dy X- · + 5y = x³ – dx - x Find the coefficient function P(x) when the given differential equation is written in the standard form dy + P(x) у %3D f(x). dx 5 P(x) = Find the integrating factor for the differential equation. eSP(x) dx %3D Find the general solution of the given differential equation. 3 y(x) = 8 -5 + cx Give the largest interval I over which the general solution is defined. (Think about the implications of an singular points. Enter your answer using interval notation.)

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A: A following graph:To Find:Equation of the above graph.