Find the general solution of the equation dy dx - 3r. + 3y = 12x4 dr? provided

Find the general solution of the equation

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dy dx - 3r. + 3y = 12x4 dr? provided that y = x³ – 2x is a solution of the homogeneous equation 22 - 3x + 3y = 0. (Hint: By reducing order find the other solutions of the accompanying homogeneous equation first then apply a suitable method to get a particular solution, hence find out the general solution.) dy dx - 3r. + 3y = 12x4 dr? provided that y = x³ – 2x is a solution of the homogeneous equation 22 - 3x + 3y = 0. (Hint: By reducing order find the other solutions of the accompanying homogeneous equation first then apply a suitable method to get a particular solution, hence find out the general solution.)