5y^3dx+(2xy^2+y^4x^4)dy=0

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Solution for 5y^3dx+(2xy^2+y^4x^4)dy=0 equation: 


Simplifying
5y3dx + (2xy2 + y4x4) * dy = 0

Reorder the terms for easier multiplication:
5dxy3 + dy(2xy2 + x4y4) = 0
5dxy3 + (2xy2 * dy + x4y4 * dy) = 0
5dxy3 + (2dxy3 + dx4y5) = 0

Combine like terms: 5dxy3 + 2dxy3 = 7dxy3
7dxy3 + dx4y5 = 0

Solving
7dxy3 + dx4y5 = 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), 'dxy3'.
dxy3(7 + x3y2) = 0


Subproblem 1
Set the factor 'dxy3' equal to zero and attempt to solve:

Simplifying
dxy3 = 0

Solving
dxy3 = 0

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

Simplifying
dxy3 = 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 '(7 + x3y2)' equal to zero and attempt to solve:

Simplifying
7 + x3y2 = 0

Solving
7 + x3y2 = 0

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

Add '-7' to each side of the equation.
7 + -7 + x3y2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x3y2 = 0 + -7
x3y2 = 0 + -7

Combine like terms: 0 + -7 = -7
x3y2 = -7

Add '-1x3y2' to each side of the equation.
x3y2 + -1x3y2 = -7 + -1x3y2

Combine like terms: x3y2 + -1x3y2 = 0
0 = -7 + -1x3y2

Simplifying
0 = -7 + -1x3y2

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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