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Simplifying 2ydx + x(x2lny + -1) * day = 0 Reorder the terms: 2dxy + x(-1 + lnx2y) * day = 0 Reorder the terms for easier multiplication: 2dxy + x * ady(-1 + lnx2y) = 0 Multiply x * ady 2dxy + adxy(-1 + lnx2y) = 0 2dxy + (-1 * adxy + lnx2y * adxy) = 0 Reorder the terms: 2dxy + (adlnx3y2 + -1adxy) = 0 2dxy + (adlnx3y2 + -1adxy) = 0 Reorder the terms: adlnx3y2 + -1adxy + 2dxy = 0 Solving adlnx3y2 + -1adxy + 2dxy = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2dxy' to each side of the equation. adlnx3y2 + -1adxy + 2dxy + -2dxy = 0 + -2dxy Combine like terms: 2dxy + -2dxy = 0 adlnx3y2 + -1adxy + 0 = 0 + -2dxy adlnx3y2 + -1adxy = 0 + -2dxy Remove the zero: adlnx3y2 + -1adxy = -2dxy Combine like terms: -2dxy + 2dxy = 0 adlnx3y2 + -1adxy + 2dxy = 0 Factor out the Greatest Common Factor (GCF), 'dxy'. dxy(alnx2y + -1a + 2) = 0Subproblem 1
Set the factor 'dxy' equal to zero and attempt to solve: Simplifying dxy = 0 Solving dxy = 0 Move all terms containing a to the left, all other terms to the right. Add '-1dxy' to each side of the equation. dxy + -1dxy = 0 + -1dxy Remove the zero: 0 = -1dxy Simplifying 0 = -1dxy 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 '(alnx2y + -1a + 2)' equal to zero and attempt to solve: Simplifying alnx2y + -1a + 2 = 0 Reorder the terms: 2 + -1a + alnx2y = 0 Solving 2 + -1a + alnx2y = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -1a + -2 + alnx2y = 0 + -2 Reorder the terms: 2 + -2 + -1a + alnx2y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1a + alnx2y = 0 + -2 -1a + alnx2y = 0 + -2 Combine like terms: 0 + -2 = -2 -1a + alnx2y = -2 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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