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Simplifying (1 + lnx) * dx + (1 + lny) = 0 Reorder the terms for easier multiplication: dx(1 + lnx) + (1 + lny) = 0 (1 * dx + lnx * dx) + (1 + lny) = 0 Reorder the terms: (dlnx2 + 1dx) + (1 + lny) = 0 (dlnx2 + 1dx) + (1 + lny) = 0 Remove parenthesis around (1 + lny) dlnx2 + 1dx + 1 + lny = 0 Reorder the terms: 1 + dlnx2 + 1dx + lny = 0 Solving 1 + dlnx2 + 1dx + lny = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + dlnx2 + 1dx + -1 + lny = 0 + -1 Reorder the terms: 1 + -1 + dlnx2 + 1dx + lny = 0 + -1 Combine like terms: 1 + -1 = 0 0 + dlnx2 + 1dx + lny = 0 + -1 dlnx2 + 1dx + lny = 0 + -1 Combine like terms: 0 + -1 = -1 dlnx2 + 1dx + lny = -1 Add '-1lny' to each side of the equation. dlnx2 + 1dx + lny + -1lny = -1 + -1lny Combine like terms: lny + -1lny = 0 dlnx2 + 1dx + 0 = -1 + -1lny dlnx2 + 1dx = -1 + -1lny Reorder the terms: 1 + dlnx2 + 1dx + lny = -1 + -1lny + 1 + lny Reorder the terms: 1 + dlnx2 + 1dx + lny = -1 + 1 + -1lny + lny Combine like terms: -1 + 1 = 0 1 + dlnx2 + 1dx + lny = 0 + -1lny + lny 1 + dlnx2 + 1dx + lny = -1lny + lny Combine like terms: -1lny + lny = 0 1 + dlnx2 + 1dx + lny = 0 The solution to this equation could not be determined.
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