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

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


Simplifying
x(dy) + y(dx) + 3x3y4(dy) = 0

Multiply x * dy
dxy + y(dx) + 3x3y4(dy) = 0

Multiply y * dx
dxy + dxy + 3x3y4(dy) = 0

Multiply x3y4 * dy
dxy + dxy + 3dx3y5 = 0

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

Solving
2dxy + 3dx3y5 = 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(2 + 3x2y4) = 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 '(2 + 3x2y4)' equal to zero and attempt to solve:

Simplifying
2 + 3x2y4 = 0

Solving
2 + 3x2y4 = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3x2y4 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3x2y4 = 0 + -2
3x2y4 = 0 + -2

Combine like terms: 0 + -2 = -2
3x2y4 = -2

Add '-3x2y4' to each side of the equation.
3x2y4 + -3x2y4 = -2 + -3x2y4

Combine like terms: 3x2y4 + -3x2y4 = 0
0 = -2 + -3x2y4

Simplifying
0 = -2 + -3x2y4

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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