Xydx+(x^2+xy)during=0

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Solution for Xydx+(x^2+xy)during=0 equation:


Simplifying
Xydx + (x2 + xy) * during = 0

Reorder the terms:
dxyX + (xy + x2) * during = 0

Reorder the terms for easier multiplication:
dxyX + dginru(xy + x2) = 0
dxyX + (xy * dginru + x2 * dginru) = 0
dxyX + (dginruxy + dginrux2) = 0

Reorder the terms:
dginruxy + dginrux2 + dxyX = 0

Solving
dginruxy + dginrux2 + dxyX = 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(ginruy + ginrux + yX) = 0

Subproblem 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 '(ginruy + ginrux + yX)' equal to zero and attempt to solve: Simplifying ginruy + ginrux + yX = 0 Reorder the terms: ginrux + ginruy + yX = 0 Solving ginrux + ginruy + yX = 0 Move all terms containing d to the left, all other terms to the right. Add '-1ginrux' to each side of the equation. ginrux + ginruy + -1ginrux + yX = 0 + -1ginrux Reorder the terms: ginrux + -1ginrux + ginruy + yX = 0 + -1ginrux Combine like terms: ginrux + -1ginrux = 0 0 + ginruy + yX = 0 + -1ginrux ginruy + yX = 0 + -1ginrux Remove the zero: ginruy + yX = -1ginrux Add '-1ginruy' to each side of the equation. ginruy + -1ginruy + yX = -1ginrux + -1ginruy Combine like terms: ginruy + -1ginruy = 0 0 + yX = -1ginrux + -1ginruy yX = -1ginrux + -1ginruy Add '-1yX' to each side of the equation. yX + -1yX = -1ginrux + -1ginruy + -1yX Combine like terms: yX + -1yX = 0 0 = -1ginrux + -1ginruy + -1yX Simplifying 0 = -1ginrux + -1ginruy + -1yX 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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