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Simplifying (x + -1y * lny + y * lnx) * dx + x(lny + -1lnx) * dy = 0 Multiply y * lny (x + -1lny2 + y * lnx) * dx + x(lny + -1lnx) * dy = 0 Multiply y * lnx (x + -1lny2 + lnxy) * dx + x(lny + -1lnx) * dy = 0 Reorder the terms: (lnxy + -1lny2 + x) * dx + x(lny + -1lnx) * dy = 0 Reorder the terms for easier multiplication: dx(lnxy + -1lny2 + x) + x(lny + -1lnx) * dy = 0 (lnxy * dx + -1lny2 * dx + x * dx) + x(lny + -1lnx) * dy = 0 Reorder the terms: (-1dlnxy2 + dlnx2y + dx2) + x(lny + -1lnx) * dy = 0 (-1dlnxy2 + dlnx2y + dx2) + x(lny + -1lnx) * dy = 0 Reorder the terms: -1dlnxy2 + dlnx2y + dx2 + x(-1lnx + lny) * dy = 0 Reorder the terms for easier multiplication: -1dlnxy2 + dlnx2y + dx2 + x * dy(-1lnx + lny) = 0 Multiply x * dy -1dlnxy2 + dlnx2y + dx2 + dxy(-1lnx + lny) = 0 -1dlnxy2 + dlnx2y + dx2 + (-1lnx * dxy + lny * dxy) = 0 Reorder the terms: -1dlnxy2 + dlnx2y + dx2 + (dlnxy2 + -1dlnx2y) = 0 -1dlnxy2 + dlnx2y + dx2 + (dlnxy2 + -1dlnx2y) = 0 Reorder the terms: -1dlnxy2 + dlnxy2 + dlnx2y + -1dlnx2y + dx2 = 0 Combine like terms: -1dlnxy2 + dlnxy2 = 0 0 + dlnx2y + -1dlnx2y + dx2 = 0 dlnx2y + -1dlnx2y + dx2 = 0 Combine like terms: dlnx2y + -1dlnx2y = 0 0 + dx2 = 0 dx2 = 0 Solving dx2 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Simplifying dx2 = 0 The solution to this equation could not be determined.
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