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Simplifying F(x + 1) * dy = ydx Reorder the terms: F(1 + x) * dy = ydx Reorder the terms for easier multiplication: F * dy(1 + x) = ydx Multiply F * dy dyF(1 + x) = ydx (1 * dyF + x * dyF) = ydx Reorder the terms: (dxyF + 1dyF) = ydx (dxyF + 1dyF) = ydx Solving dxyF + 1dyF = dxy Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1dxy' to each side of the equation. dxyF + -1dxy + 1dyF = dxy + -1dxy Reorder the terms: -1dxy + dxyF + 1dyF = dxy + -1dxy Combine like terms: dxy + -1dxy = 0 -1dxy + dxyF + 1dyF = 0 Factor out the Greatest Common Factor (GCF), 'dy'. dy(-1x + xF + F) = 0Subproblem 1
Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy = 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 '(-1x + xF + F)' equal to zero and attempt to solve: Simplifying -1x + xF + F = 0 Reorder the terms: F + -1x + xF = 0 Solving F + -1x + xF = 0 Move all terms containing d to the left, all other terms to the right. Add '-1F' to each side of the equation. F + -1x + -1F + xF = 0 + -1F Reorder the terms: F + -1F + -1x + xF = 0 + -1F Combine like terms: F + -1F = 0 0 + -1x + xF = 0 + -1F -1x + xF = 0 + -1F Remove the zero: -1x + xF = -1F Add 'x' to each side of the equation. -1x + x + xF = -1F + x Combine like terms: -1x + x = 0 0 + xF = -1F + x xF = -1F + x Add '-1xF' to each side of the equation. xF + -1xF = -1F + x + -1xF Combine like terms: xF + -1xF = 0 0 = -1F + x + -1xF Simplifying 0 = -1F + x + -1xF 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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