A z1(x) = 3x 3 + 2x ln x, z2(x) = e 2x + 2x lnx − x 3 are solutions of a second order, linear, nonhomogeneous equation L[y] = f(x). y1(x) = 3e 2x is a solution of the corresponding reduced equation L[y] = 0. The general solution of L[y] = f(x) is:.

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Idon't see any graph, however the graph of the function : f(x) = x²-2x+3 is a parabola: 1) open upward (since a> 0)2) it intersects y-axis in 3 (y=3)3) its axis of symmetry is x = +1 ( -b/2a)4) it's minimum is y = -2, so its vertex is (1,-2)5) it doesn't intersect the x-axis since discriminant < 0