xdy+ydx=(x^3y^6)dx

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Solution for xdy+ydx=(x^3y^6)dx equation:


Simplifying
xdy + ydx = (x3y6) * dx

Combine like terms: dxy + dxy = 2dxy
2dxy = (x3y6) * dx

Multiply x3y6 * dx
2dxy = dx4y6

Solving
2dxy = dx4y6

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Add '-1dx4y6' to each side of the equation.
2dxy + -1dx4y6 = dx4y6 + -1dx4y6

Combine like terms: dx4y6 + -1dx4y6 = 0
2dxy + -1dx4y6 = 0

Factor out the Greatest Common Factor (GCF), 'dxy'.
dxy(2 + -1x3y5) = 0

Subproblem 1

Set the factor 'dxy' equal to zero and attempt to solve: Simplifying dxy = 0 Solving dxy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dxy = 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 '(2 + -1x3y5)' equal to zero and attempt to solve: Simplifying 2 + -1x3y5 = 0 Solving 2 + -1x3y5 = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x3y5 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x3y5 = 0 + -2 -1x3y5 = 0 + -2 Combine like terms: 0 + -2 = -2 -1x3y5 = -2 Add 'x3y5' to each side of the equation. -1x3y5 + x3y5 = -2 + x3y5 Combine like terms: -1x3y5 + x3y5 = 0 0 = -2 + x3y5 Simplifying 0 = -2 + x3y5 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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