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Simplifying ydx + (x + y2) * day = 0 Reorder the terms for easier multiplication: dxy + ady(x + y2) = 0 dxy + (x * ady + y2 * ady) = 0 dxy + (adxy + ady3) = 0 Reorder the terms: adxy + ady3 + dxy = 0 Solving adxy + ady3 + dxy = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1dxy' to each side of the equation. adxy + ady3 + dxy + -1dxy = 0 + -1dxy Combine like terms: dxy + -1dxy = 0 adxy + ady3 + 0 = 0 + -1dxy adxy + ady3 = 0 + -1dxy Remove the zero: adxy + ady3 = -1dxy Combine like terms: -1dxy + dxy = 0 adxy + ady3 + dxy = 0 Factor out the Greatest Common Factor (GCF), 'dy'. dy(ax + ay2 + x) = 0Subproblem 1
Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing a to the left, all other terms to the right. Add '-1dy' to each side of the equation. dy + -1dy = 0 + -1dy Remove the zero: 0 = -1dy Simplifying 0 = -1dy 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 '(ax + ay2 + x)' equal to zero and attempt to solve: Simplifying ax + ay2 + x = 0 Solving ax + ay2 + x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x' to each side of the equation. ax + ay2 + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 ax + ay2 + 0 = 0 + -1x ax + ay2 = 0 + -1x Remove the zero: ax + ay2 = -1x 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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