ydx=(x+xy^2)dy

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Solution for ydx=(x+xy^2)dy equation:


Simplifying
ydx = (x + xy2) * dy

Reorder the terms for easier multiplication:
dxy = dy(x + xy2)
dxy = (x * dy + xy2 * dy)
dxy = (dxy + dxy3)

Add '-1dxy' to each side of the equation.
dxy + -1dxy = dxy + -1dxy + dxy3

Combine like terms: dxy + -1dxy = 0
0 = dxy + -1dxy + dxy3

Combine like terms: dxy + -1dxy = 0
0 = 0 + dxy3
0 = dxy3

Solving
0 = dxy3

Solving for variable 'd'.

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

Add '-1dxy3' to each side of the equation.
0 + -1dxy3 = dxy3 + -1dxy3
Remove the zero:
-1dxy3 = dxy3 + -1dxy3

Combine like terms: dxy3 + -1dxy3 = 0
-1dxy3 = 0

Divide each side by '-1'.
dxy3 = 0

Simplifying
dxy3 = 0

The solution to this equation could not be determined.

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