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

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


Simplifying
5y3dx + -1y2(-2x + x4y2) * dy = 0

Reorder the terms for easier multiplication:
5dxy3 + -1y2 * dy(-2x + x4y2) = 0

Multiply y2 * dy
5dxy3 + -1dy3(-2x + x4y2) = 0
5dxy3 + (-2x * -1dy3 + x4y2 * -1dy3) = 0
5dxy3 + (2dxy3 + -1dx4y5) = 0

Combine like terms: 5dxy3 + 2dxy3 = 7dxy3
7dxy3 + -1dx4y5 = 0

Solving
7dxy3 + -1dx4y5 = 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 + -1x3y2) = 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 + -1x3y2)' equal to zero and attempt to solve:

Simplifying
7 + -1x3y2 = 0

Solving
7 + -1x3y2 = 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 + -1x3y2 = 0 + -7

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

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

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

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

Simplifying
0 = -7 + x3y2

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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