Question: Consider the following differential equation.xdydx3y=x3-xFind the coefficient function P(x) when the given differential equation is written in the stadard form dydxP(x)y=f(x).P(x)=Find the integrating factor for

Consider the following differential equation.xdydx3y=x3-xFind the coefficient function P(x) when the given differential equation is written in the stadard form dydxP(x)y=f(x).P(x)=Find the integrating factor for the differential equation.tax2xdx=Find the general solvtion of the given differential equation.y(x)=Give the largest interval f over which the general solution is defined. (Think about the implications of and sinpular points. Enter your aniwer uning intarval notabion.)Determine whether there are any transient terms in the general solution. (Inter the transient terms as a commb-separabed lint, if there are none, enter Nove.)

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