(2xy+3)dx+(x^2-1)=0

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Solution for (2xy+3)dx+(x^2-1)=0 equation:


Simplifying
(2xy + 3) * dx + (x2 + -1) = 0

Reorder the terms:
(3 + 2xy) * dx + (x2 + -1) = 0

Reorder the terms for easier multiplication:
dx(3 + 2xy) + (x2 + -1) = 0
(3 * dx + 2xy * dx) + (x2 + -1) = 0
(3dx + 2dx2y) + (x2 + -1) = 0

Reorder the terms:
3dx + 2dx2y + (-1 + x2) = 0

Remove parenthesis around (-1 + x2)
3dx + 2dx2y + -1 + x2 = 0

Reorder the terms:
-1 + 3dx + 2dx2y + x2 = 0

Solving
-1 + 3dx + 2dx2y + x2 = 0

Solving for variable 'd'.

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

Add '1' to each side of the equation.
-1 + 3dx + 2dx2y + 1 + x2 = 0 + 1

Reorder the terms:
-1 + 1 + 3dx + 2dx2y + x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3dx + 2dx2y + x2 = 0 + 1
3dx + 2dx2y + x2 = 0 + 1

Combine like terms: 0 + 1 = 1
3dx + 2dx2y + x2 = 1

Add '-1x2' to each side of the equation.
3dx + 2dx2y + x2 + -1x2 = 1 + -1x2

Combine like terms: x2 + -1x2 = 0
3dx + 2dx2y + 0 = 1 + -1x2
3dx + 2dx2y = 1 + -1x2

Reorder the terms:
-1 + 3dx + 2dx2y + x2 = 1 + -1x2 + -1 + x2

Reorder the terms:
-1 + 3dx + 2dx2y + x2 = 1 + -1 + -1x2 + x2

Combine like terms: 1 + -1 = 0
-1 + 3dx + 2dx2y + x2 = 0 + -1x2 + x2
-1 + 3dx + 2dx2y + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-1 + 3dx + 2dx2y + x2 = 0

The solution to this equation could not be determined.

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