(x^4+y^4)dx-xy^3=0

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Solution for (x^4+y^4)dx-xy^3=0 equation: 


Simplifying
(x4 + y4) * dx + -1xy3 = 0

Reorder the terms for easier multiplication:
dx(x4 + y4) + -1xy3 = 0
(x4 * dx + y4 * dx) + -1xy3 = 0

Reorder the terms:
(dxy4 + dx5) + -1xy3 = 0
(dxy4 + dx5) + -1xy3 = 0

Solving
dxy4 + dx5 + -1xy3 = 0

Solving for variable 'd'.

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

Add 'xy3' to each side of the equation.
dxy4 + dx5 + -1xy3 + xy3 = 0 + xy3

Combine like terms: -1xy3 + xy3 = 0
dxy4 + dx5 + 0 = 0 + xy3
dxy4 + dx5 = 0 + xy3
Remove the zero:
dxy4 + dx5 = xy3

Combine like terms: xy3 + -1xy3 = 0
dxy4 + dx5 + -1xy3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(dy4 + dx4 + -1y3) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

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 '(dy4 + dx4 + -1y3)' equal to zero and attempt to solve:

Simplifying
dy4 + dx4 + -1y3 = 0

Reorder the terms:
dx4 + dy4 + -1y3 = 0

Solving
dx4 + dy4 + -1y3 = 0

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

Add 'y3' to each side of the equation.
dx4 + dy4 + -1y3 + y3 = 0 + y3

Combine like terms: -1y3 + y3 = 0
dx4 + dy4 + 0 = 0 + y3
dx4 + dy4 = 0 + y3
Remove the zero:
dx4 + dy4 = y3

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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