Ydx-(x+2*y^2)dy=0

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Solution for Ydx-(x+2*y^2)dy=0 equation: 


Simplifying
Ydx + -1(x + 2y2) * dy = 0

Reorder the terms for easier multiplication:
dxY + -1dy(x + 2y2) = 0
dxY + (x * -1dy + 2y2 * -1dy) = 0
dxY + (-1dxy + -2dy3) = 0

Solving
dxY + -1dxy + -2dy3 = 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), 'd'.
d(xY + -1xy + -2y3) = 0


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

Simplifying
d = 0

Solving
d = 0

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

Simplifying
d = 0

Subproblem 2
Set the factor '(xY + -1xy + -2y3)' equal to zero and attempt to solve:

Simplifying
xY + -1xy + -2y3 = 0

Solving
xY + -1xy + -2y3 = 0

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

Add '-1xY' to each side of the equation.
xY + -1xy + -1xY + -2y3 = 0 + -1xY

Reorder the terms:
xY + -1xY + -1xy + -2y3 = 0 + -1xY

Combine like terms: xY + -1xY = 0
0 + -1xy + -2y3 = 0 + -1xY
-1xy + -2y3 = 0 + -1xY
Remove the zero:
-1xy + -2y3 = -1xY

Add 'xy' to each side of the equation.
-1xy + xy + -2y3 = -1xY + xy

Combine like terms: -1xy + xy = 0
0 + -2y3 = -1xY + xy
-2y3 = -1xY + xy

Add '2y3' to each side of the equation.
-2y3 + 2y3 = -1xY + xy + 2y3

Combine like terms: -2y3 + 2y3 = 0
0 = -1xY + xy + 2y3

Simplifying
0 = -1xY + xy + 2y3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
d = {0}

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