Suppose that + 2x- In(x) -1 -1 Yp = 3x and = 2x2 In(x) + 7x are both particular solutions of the linear, second-order non-homogeneous differential equation Ly f(x), and y1 = x' is a solution of the corresponding homogeneous equation Ly = 0. %3D a. Find a particular solution to the nonhomogeneous differential equation Ly = f(). %3D Yp = 3x^-1+2x^-2lnx help (formulas) b. Find the most general solution to the homogeneous differential equation Ly = 0. Use C1 and c2 in your answer to denote arbitrary constants, and enter them as c1 and c2. Yh = -x^-1+((2x^-2lnx)*(c1+c2+1)) help (formulas) c. Find the most general solution to the original nonhomogeneous differential equation. Use c and c2 in your answer to denote arbitrary constants. y = help (formulas)

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