ydx=x(1+xy^4)dy

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Solution for ydx=x(1+xy^4)dy equation:


Simplifying
ydx = x(1 + xy4) * dy

Reorder the terms for easier multiplication:
dxy = x * dy(1 + xy4)

Multiply x * dy
dxy = dxy(1 + xy4)
dxy = (1 * dxy + xy4 * dxy)
dxy = (1dxy + dx2y5)

Solving
dxy = 1dxy + dx2y5

Solving for variable 'd'.

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

Add '-1dxy' to each side of the equation.
dxy + -1dxy = 1dxy + -1dxy + dx2y5

Combine like terms: dxy + -1dxy = 0
0 = 1dxy + -1dxy + dx2y5

Combine like terms: 1dxy + -1dxy = 0
0 = 0 + dx2y5
0 = dx2y5

Add '-1dx2y5' to each side of the equation.
0 + -1dx2y5 = dx2y5 + -1dx2y5
Remove the zero:
-1dx2y5 = dx2y5 + -1dx2y5

Combine like terms: dx2y5 + -1dx2y5 = 0
-1dx2y5 = 0

Divide each side by '-1'.
dx2y5 = 0

Simplifying
dx2y5 = 0

The solution to this equation could not be determined.

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