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Simplifying (d4 + 2d3 + -3d2) * y = x2 + 3e2x + 4sinx Reorder the terms: (-3d2 + 2d3 + d4) * y = x2 + 3e2x + 4sinx Reorder the terms for easier multiplication: y(-3d2 + 2d3 + d4) = x2 + 3e2x + 4sinx (-3d2 * y + 2d3 * y + d4 * y) = x2 + 3e2x + 4sinx (-3d2y + 2d3y + d4y) = x2 + 3e2x + 4sinx Reorder the terms: -3d2y + 2d3y + d4y = 3e2x + 4insx + x2 Solving -3d2y + 2d3y + d4y = 3e2x + 4insx + x2 Solving for variable 'd'. Reorder the terms: -3d2y + 2d3y + d4y + -3e2x + -4insx + -1x2 = 3e2x + -3e2x + 4insx + -4insx + x2 + -1x2 Combine like terms: 3e2x + -3e2x = 0 -3d2y + 2d3y + d4y + -3e2x + -4insx + -1x2 = 0 + 4insx + -4insx + x2 + -1x2 -3d2y + 2d3y + d4y + -3e2x + -4insx + -1x2 = 4insx + -4insx + x2 + -1x2 Combine like terms: 4insx + -4insx = 0 -3d2y + 2d3y + d4y + -3e2x + -4insx + -1x2 = 0 + x2 + -1x2 -3d2y + 2d3y + d4y + -3e2x + -4insx + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3d2y + 2d3y + d4y + -3e2x + -4insx + -1x2 = 0 The solution to this equation could not be determined.
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