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Simplifying ydx + (x + (x3)(y2)) * dx = 0 Multiply x3 * y2 dxy + (x + x3y2) * dx = 0 Reorder the terms for easier multiplication: dxy + dx(x + x3y2) = 0 dxy + (x * dx + x3y2 * dx) = 0 dxy + (dx2 + dx4y2) = 0 Solving dxy + dx2 + dx4y2 = 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), 'dx'. dx(y + x + x3y2) = 0Subproblem 1
Set the factor 'dx' equal to zero and attempt to solve: Simplifying dx = 0 Solving dx = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx = 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 '(y + x + x3y2)' equal to zero and attempt to solve: Simplifying y + x + x3y2 = 0 Reorder the terms: x + x3y2 + y = 0 Solving x + x3y2 + y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. x + x3y2 + -1x + y = 0 + -1x Reorder the terms: x + -1x + x3y2 + y = 0 + -1x Combine like terms: x + -1x = 0 0 + x3y2 + y = 0 + -1x x3y2 + y = 0 + -1x Remove the zero: x3y2 + y = -1x Add '-1x3y2' to each side of the equation. x3y2 + -1x3y2 + y = -1x + -1x3y2 Combine like terms: x3y2 + -1x3y2 = 0 0 + y = -1x + -1x3y2 y = -1x + -1x3y2 Add '-1y' to each side of the equation. y + -1y = -1x + -1x3y2 + -1y Combine like terms: y + -1y = 0 0 = -1x + -1x3y2 + -1y Simplifying 0 = -1x + -1x3y2 + -1y 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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