(x^5-6y+y^3)dx+(y^4+6x-x^3)=

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Solution for (x^5-6y+y^3)dx+(y^4+6x-x^3)= equation: 


Simplifying
(x5 + -6y + y3) * dx + (y4 + 6x + -1x3) = 0

Reorder the terms for easier multiplication:
dx(x5 + -6y + y3) + (y4 + 6x + -1x3) = 0
(x5 * dx + -6y * dx + y3 * dx) + (y4 + 6x + -1x3) = 0

Reorder the terms:
(-6dxy + dxy3 + dx6) + (y4 + 6x + -1x3) = 0
(-6dxy + dxy3 + dx6) + (y4 + 6x + -1x3) = 0

Reorder the terms:
-6dxy + dxy3 + dx6 + (6x + -1x3 + y4) = 0

Remove parenthesis around (6x + -1x3 + y4)
-6dxy + dxy3 + dx6 + 6x + -1x3 + y4 = 0

Solving
-6dxy + dxy3 + dx6 + 6x + -1x3 + y4 = 0

Solving for variable 'd'.

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

Add '-6x' to each side of the equation.
-6dxy + dxy3 + dx6 + 6x + -1x3 + -6x + y4 = 0 + -6x

Reorder the terms:
-6dxy + dxy3 + dx6 + 6x + -6x + -1x3 + y4 = 0 + -6x

Combine like terms: 6x + -6x = 0
-6dxy + dxy3 + dx6 + 0 + -1x3 + y4 = 0 + -6x
-6dxy + dxy3 + dx6 + -1x3 + y4 = 0 + -6x
Remove the zero:
-6dxy + dxy3 + dx6 + -1x3 + y4 = -6x

Add 'x3' to each side of the equation.
-6dxy + dxy3 + dx6 + -1x3 + x3 + y4 = -6x + x3

Combine like terms: -1x3 + x3 = 0
-6dxy + dxy3 + dx6 + 0 + y4 = -6x + x3
-6dxy + dxy3 + dx6 + y4 = -6x + x3

Add '-1y4' to each side of the equation.
-6dxy + dxy3 + dx6 + y4 + -1y4 = -6x + x3 + -1y4

Combine like terms: y4 + -1y4 = 0
-6dxy + dxy3 + dx6 + 0 = -6x + x3 + -1y4
-6dxy + dxy3 + dx6 = -6x + x3 + -1y4

Reorder the terms:
-6dxy + dxy3 + dx6 + 6x + -1x3 + y4 = -6x + 6x + x3 + -1x3 + -1y4 + y4

Combine like terms: -6x + 6x = 0
-6dxy + dxy3 + dx6 + 6x + -1x3 + y4 = 0 + x3 + -1x3 + -1y4 + y4
-6dxy + dxy3 + dx6 + 6x + -1x3 + y4 = x3 + -1x3 + -1y4 + y4

Combine like terms: x3 + -1x3 = 0
-6dxy + dxy3 + dx6 + 6x + -1x3 + y4 = 0 + -1y4 + y4
-6dxy + dxy3 + dx6 + 6x + -1x3 + y4 = -1y4 + y4

Combine like terms: -1y4 + y4 = 0
-6dxy + dxy3 + dx6 + 6x + -1x3 + y4 = 0

The solution to this equation could not be determined.

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