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Simplifying 2ydx + x(x2lny + -1) * dy = 0 Reorder the terms: 2dxy + x(-1 + lnx2y) * dy = 0 Reorder the terms for easier multiplication: 2dxy + x * dy(-1 + lnx2y) = 0 Multiply x * dy 2dxy + dxy(-1 + lnx2y) = 0 2dxy + (-1 * dxy + lnx2y * dxy) = 0 Reorder the terms: 2dxy + (dlnx3y2 + -1dxy) = 0 2dxy + (dlnx3y2 + -1dxy) = 0 Reorder the terms: dlnx3y2 + 2dxy + -1dxy = 0 Combine like terms: 2dxy + -1dxy = 1dxy dlnx3y2 + 1dxy = 0 Solving dlnx3y2 + 1dxy = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'dxy'. dxy(lnx2y + 1) = 0Subproblem 1
Set the factor 'dxy' equal to zero and attempt to solve: Simplifying dxy = 0 Solving dxy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dxy = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(lnx2y + 1)' equal to zero and attempt to solve: Simplifying lnx2y + 1 = 0 Reorder the terms: 1 + lnx2y = 0 Solving 1 + lnx2y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + lnx2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + lnx2y = 0 + -1 lnx2y = 0 + -1 Combine like terms: 0 + -1 = -1 lnx2y = -1 Add '-1lnx2y' to each side of the equation. lnx2y + -1lnx2y = -1 + -1lnx2y Combine like terms: lnx2y + -1lnx2y = 0 0 = -1 + -1lnx2y Simplifying 0 = -1 + -1lnx2y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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