(4x^3y-15x^2-y)dx+(x^4+3y^2-x)dy=o

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Solution for (4x^3y-15x^2-y)dx+(x^4+3y^2-x)dy=o equation:


Simplifying
(4x3y + -15x2 + -1y) * dx + (x4 + 3y2 + -1x) * dy = o

Reorder the terms:
(-15x2 + 4x3y + -1y) * dx + (x4 + 3y2 + -1x) * dy = o

Reorder the terms for easier multiplication:
dx(-15x2 + 4x3y + -1y) + (x4 + 3y2 + -1x) * dy = o
(-15x2 * dx + 4x3y * dx + -1y * dx) + (x4 + 3y2 + -1x) * dy = o

Reorder the terms:
(-1dxy + -15dx3 + 4dx4y) + (x4 + 3y2 + -1x) * dy = o
(-1dxy + -15dx3 + 4dx4y) + (x4 + 3y2 + -1x) * dy = o

Reorder the terms:
-1dxy + -15dx3 + 4dx4y + (-1x + x4 + 3y2) * dy = o

Reorder the terms for easier multiplication:
-1dxy + -15dx3 + 4dx4y + dy(-1x + x4 + 3y2) = o
-1dxy + -15dx3 + 4dx4y + (-1x * dy + x4 * dy + 3y2 * dy) = o
-1dxy + -15dx3 + 4dx4y + (-1dxy + dx4y + 3dy3) = o

Reorder the terms:
-1dxy + -1dxy + -15dx3 + 4dx4y + dx4y + 3dy3 = o

Combine like terms: -1dxy + -1dxy = -2dxy
-2dxy + -15dx3 + 4dx4y + dx4y + 3dy3 = o

Combine like terms: 4dx4y + dx4y = 5dx4y
-2dxy + -15dx3 + 5dx4y + 3dy3 = o

Solving
-2dxy + -15dx3 + 5dx4y + 3dy3 = 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
-2dxy + -15dx3 + 5dx4y + 3dy3 + -1o = 0

The solution to this equation could not be determined.

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