(x^2+1)dy+(4xy-x^3-x)dx=o

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Solution for (x^2+1)dy+(4xy-x^3-x)dx=o equation: 


Simplifying
(x2 + 1) * dy + (4xy + -1x3 + -1x) * dx = o

Reorder the terms:
(1 + x2) * dy + (4xy + -1x3 + -1x) * dx = o

Reorder the terms for easier multiplication:
dy(1 + x2) + (4xy + -1x3 + -1x) * dx = o
(1 * dy + x2 * dy) + (4xy + -1x3 + -1x) * dx = o

Reorder the terms:
(dx2y + 1dy) + (4xy + -1x3 + -1x) * dx = o
(dx2y + 1dy) + (4xy + -1x3 + -1x) * dx = o

Reorder the terms:
dx2y + 1dy + (-1x + 4xy + -1x3) * dx = o

Reorder the terms for easier multiplication:
dx2y + 1dy + dx(-1x + 4xy + -1x3) = o
dx2y + 1dy + (-1x * dx + 4xy * dx + -1x3 * dx) = o
dx2y + 1dy + (-1dx2 + 4dx2y + -1dx4) = o

Reorder the terms:
-1dx2 + dx2y + 4dx2y + -1dx4 + 1dy = o

Combine like terms: dx2y + 4dx2y = 5dx2y
-1dx2 + 5dx2y + -1dx4 + 1dy = o

Solving
-1dx2 + 5dx2y + -1dx4 + 1dy = o

Solving for variable 'd'.

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

Combine like terms: o + -1o = 0
-1dx2 + 5dx2y + -1dx4 + 1dy + -1o = 0

The solution to this equation could not be determined.

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