(y((x^3)-(y^5)))dx-(x((x^3)+(y^5)))dy=0

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Solution for (y((x^3)-(y^5)))dx-(x((x^3)+(y^5)))dy=0 equation:


Simplifying
(y((x3) + -1(y5))) * dx + -1(x((x3) + (y5))) * dy = 0
(y(x3 + -1(y5))) * dx + -1(x((x3) + (y5))) * dy = 0
((x3 * y + -1y5 * y)) * dx + -1(x((x3) + (y5))) * dy = 0
((x3y + -1y6)) * dx + -1(x((x3) + (y5))) * dy = 0

Reorder the terms for easier multiplication:
dx(x3y + -1y6) + -1(x((x3) + (y5))) * dy = 0
(x3y * dx + -1y6 * dx) + -1(x((x3) + (y5))) * dy = 0

Reorder the terms:
(-1dxy6 + dx4y) + -1(x((x3) + (y5))) * dy = 0
(-1dxy6 + dx4y) + -1(x((x3) + (y5))) * dy = 0
-1dxy6 + dx4y + -1(x(x3 + (y5))) * dy = 0
-1dxy6 + dx4y + -1(x(x3 + y5)) * dy = 0
-1dxy6 + dx4y + -1((x3 * x + y5 * x)) * dy = 0

Reorder the terms:
-1dxy6 + dx4y + -1((xy5 + x4)) * dy = 0
-1dxy6 + dx4y + -1((xy5 + x4)) * dy = 0

Reorder the terms for easier multiplication:
-1dxy6 + dx4y + -1dy(xy5 + x4) = 0
-1dxy6 + dx4y + (xy5 * -1dy + x4 * -1dy) = 0
-1dxy6 + dx4y + (-1dxy6 + -1dx4y) = 0

Reorder the terms:
-1dxy6 + -1dxy6 + dx4y + -1dx4y = 0

Combine like terms: -1dxy6 + -1dxy6 = -2dxy6
-2dxy6 + dx4y + -1dx4y = 0

Combine like terms: dx4y + -1dx4y = 0
-2dxy6 + 0 = 0
-2dxy6 = 0

Solving
-2dxy6 = 0

Solving for variable 'd'.

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

Divide each side by '-2'.
dxy6 = 0

Simplifying
dxy6 = 0

The solution to this equation could not be determined.

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