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

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

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

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

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

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

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

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

Combine like terms: dx2y + dx2y = 2dx2y
dx2 + 2dx2y + dx4 + 1dy = o

Solving
dx2 + 2dx2y + dx4 + 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
dx2 + 2dx2y + dx4 + 1dy + -1o = 0

The solution to this equation could not be determined.