xp^5-yp^4+(x^2+1)p^3-2xyp^2+(x+y^2)p-y=0

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Solution for xp^5-yp^4+(x^2+1)p^3-2xyp^2+(x+y^2)p-y=0 equation: 


Simplifying
xp5 + -1yp4 + (x2 + 1) * p3 + -2xyp2 + (x + y2) * p + -1y = 0

Reorder the terms:
p5x + -1p4y + (1 + x2) * p3 + -2xyp2 + (x + y2) * p + -1y = 0

Reorder the terms for easier multiplication:
p5x + -1p4y + p3(1 + x2) + -2xyp2 + (x + y2) * p + -1y = 0
p5x + -1p4y + (1 * p3 + x2 * p3) + -2xyp2 + (x + y2) * p + -1y = 0
p5x + -1p4y + (1p3 + p3x2) + -2xyp2 + (x + y2) * p + -1y = 0

Reorder the terms for easier multiplication:
p5x + -1p4y + 1p3 + p3x2 + -2p2xy + p(x + y2) + -1y = 0
p5x + -1p4y + 1p3 + p3x2 + -2p2xy + (x * p + y2 * p) + -1y = 0
p5x + -1p4y + 1p3 + p3x2 + -2p2xy + (px + py2) + -1y = 0

Reorder the terms:
px + py2 + -2p2xy + 1p3 + p3x2 + -1p4y + p5x + -1y = 0

Solving
px + py2 + -2p2xy + 1p3 + p3x2 + -1p4y + p5x + -1y = 0

Solving for variable 'p'.

The solution to this equation could not be determined.

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