X^2ydx=(x^3+y^3)dy

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Solution for X^2ydx=(x^3+y^3)dy equation: 


Simplifying
X2ydx = (x3 + y3) * dy

Reorder the terms for easier multiplication:
dxyX2 = dy(x3 + y3)
dxyX2 = (x3 * dy + y3 * dy)
dxyX2 = (dx3y + dy4)

Solving
dxyX2 = dx3y + dy4

Solving for variable 'd'.

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

Add '-1dx3y' to each side of the equation.
dxyX2 + -1dx3y = dx3y + -1dx3y + dy4

Combine like terms: dx3y + -1dx3y = 0
dxyX2 + -1dx3y = 0 + dy4
dxyX2 + -1dx3y = dy4

Add '-1dy4' to each side of the equation.
dxyX2 + -1dx3y + -1dy4 = dy4 + -1dy4

Combine like terms: dy4 + -1dy4 = 0
dxyX2 + -1dx3y + -1dy4 = 0

Factor out the Greatest Common Factor (GCF), 'dy'.
dy(xX2 + -1x3 + -1y3) = 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 '(xX2 + -1x3 + -1y3)' equal to zero and attempt to solve:

Simplifying
xX2 + -1x3 + -1y3 = 0

Solving
xX2 + -1x3 + -1y3 = 0

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

Add '-1xX2' to each side of the equation.
xX2 + -1x3 + -1xX2 + -1y3 = 0 + -1xX2

Reorder the terms:
xX2 + -1xX2 + -1x3 + -1y3 = 0 + -1xX2

Combine like terms: xX2 + -1xX2 = 0
0 + -1x3 + -1y3 = 0 + -1xX2
-1x3 + -1y3 = 0 + -1xX2
Remove the zero:
-1x3 + -1y3 = -1xX2

Add 'x3' to each side of the equation.
-1x3 + x3 + -1y3 = -1xX2 + x3

Combine like terms: -1x3 + x3 = 0
0 + -1y3 = -1xX2 + x3
-1y3 = -1xX2 + x3

Add 'y3' to each side of the equation.
-1y3 + y3 = -1xX2 + x3 + y3

Combine like terms: -1y3 + y3 = 0
0 = -1xX2 + x3 + y3

Simplifying
0 = -1xX2 + x3 + y3

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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