2xdy+(x^2y^4+1)ydx=0

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Solution for 2xdy+(x^2y^4+1)ydx=0 equation: 


Simplifying
2xdy + (x2y4 + 1) * ydx = 0

Reorder the terms:
2dxy + (1 + x2y4) * ydx = 0

Reorder the terms for easier multiplication:
2dxy + dxy(1 + x2y4) = 0
2dxy + (1 * dxy + x2y4 * dxy) = 0
2dxy + (1dxy + dx3y5) = 0

Combine like terms: 2dxy + 1dxy = 3dxy
3dxy + dx3y5 = 0

Solving
3dxy + dx3y5 = 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), 'dxy'.
dxy(3 + x2y4) = 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 '(3 + x2y4)' equal to zero and attempt to solve:

Simplifying
3 + x2y4 = 0

Solving
3 + x2y4 = 0

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

Add '-3' to each side of the equation.
3 + -3 + x2y4 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x2y4 = 0 + -3
x2y4 = 0 + -3

Combine like terms: 0 + -3 = -3
x2y4 = -3

Add '-1x2y4' to each side of the equation.
x2y4 + -1x2y4 = -3 + -1x2y4

Combine like terms: x2y4 + -1x2y4 = 0
0 = -3 + -1x2y4

Simplifying
0 = -3 + -1x2y4

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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