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

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


Simplifying
4y2dx + -1(2x3 + y) * dy = 0

Reorder the terms for easier multiplication:
4dxy2 + -1dy(2x3 + y) = 0
4dxy2 + (2x3 * -1dy + y * -1dy) = 0
4dxy2 + (-2dx3y + -1dy2) = 0

Solving
4dxy2 + -2dx3y + -1dy2 = 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), 'dy'.
dy(4xy + -2x3 + -1y) = 0


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

Simplifying
dy = 0

Solving
dy = 0

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

Simplifying
dy = 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 '(4xy + -2x3 + -1y)' equal to zero and attempt to solve:

Simplifying
4xy + -2x3 + -1y = 0

Solving
4xy + -2x3 + -1y = 0

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

Add '-4xy' to each side of the equation.
4xy + -2x3 + -4xy + -1y = 0 + -4xy

Reorder the terms:
4xy + -4xy + -2x3 + -1y = 0 + -4xy

Combine like terms: 4xy + -4xy = 0
0 + -2x3 + -1y = 0 + -4xy
-2x3 + -1y = 0 + -4xy
Remove the zero:
-2x3 + -1y = -4xy

Add '2x3' to each side of the equation.
-2x3 + 2x3 + -1y = -4xy + 2x3

Combine like terms: -2x3 + 2x3 = 0
0 + -1y = -4xy + 2x3
-1y = -4xy + 2x3

Add 'y' to each side of the equation.
-1y + y = -4xy + 2x3 + y

Combine like terms: -1y + y = 0
0 = -4xy + 2x3 + y

Simplifying
0 = -4xy + 2x3 + y

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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