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Simplifying y(x + -1y + -2) * dx + x(y + -1x + 4) * dy = 0 Reorder the terms: y(-2 + x + -1y) * dx + x(y + -1x + 4) * dy = 0 Reorder the terms for easier multiplication: y * dx(-2 + x + -1y) + x(y + -1x + 4) * dy = 0 Multiply y * dx dxy(-2 + x + -1y) + x(y + -1x + 4) * dy = 0 (-2 * dxy + x * dxy + -1y * dxy) + x(y + -1x + 4) * dy = 0 Reorder the terms: (-2dxy + -1dxy2 + dx2y) + x(y + -1x + 4) * dy = 0 (-2dxy + -1dxy2 + dx2y) + x(y + -1x + 4) * dy = 0 Reorder the terms: -2dxy + -1dxy2 + dx2y + x(4 + -1x + y) * dy = 0 Reorder the terms for easier multiplication: -2dxy + -1dxy2 + dx2y + x * dy(4 + -1x + y) = 0 Multiply x * dy -2dxy + -1dxy2 + dx2y + dxy(4 + -1x + y) = 0 -2dxy + -1dxy2 + dx2y + (4 * dxy + -1x * dxy + y * dxy) = 0 Reorder the terms: -2dxy + -1dxy2 + dx2y + (4dxy + dxy2 + -1dx2y) = 0 -2dxy + -1dxy2 + dx2y + (4dxy + dxy2 + -1dx2y) = 0 Reorder the terms: -2dxy + 4dxy + -1dxy2 + dxy2 + dx2y + -1dx2y = 0 Combine like terms: -2dxy + 4dxy = 2dxy 2dxy + -1dxy2 + dxy2 + dx2y + -1dx2y = 0 Combine like terms: -1dxy2 + dxy2 = 0 2dxy + 0 + dx2y + -1dx2y = 0 2dxy + dx2y + -1dx2y = 0 Combine like terms: dx2y + -1dx2y = 0 2dxy + 0 = 0 2dxy = 0 Solving 2dxy = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Divide each side by '2'. dxy = 0 Simplifying dxy = 0 The solution to this equation could not be determined.
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