y(1+xy)dx+(2y-x)dy=0

Simple and best practice solution for y(1+xy)dx+(2y-x)dy=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for y(1+xy)dx+(2y-x)dy=0 equation: 


Simplifying
y(1 + xy) * dx + (2y + -1x) * dy = 0

Reorder the terms for easier multiplication:
y * dx(1 + xy) + (2y + -1x) * dy = 0

Multiply y * dx
dxy(1 + xy) + (2y + -1x) * dy = 0
(1 * dxy + xy * dxy) + (2y + -1x) * dy = 0
(1dxy + dx2y2) + (2y + -1x) * dy = 0

Reorder the terms:
1dxy + dx2y2 + (-1x + 2y) * dy = 0

Reorder the terms for easier multiplication:
1dxy + dx2y2 + dy(-1x + 2y) = 0
1dxy + dx2y2 + (-1x * dy + 2y * dy) = 0
1dxy + dx2y2 + (-1dxy + 2dy2) = 0

Reorder the terms:
1dxy + -1dxy + dx2y2 + 2dy2 = 0

Combine like terms: 1dxy + -1dxy = 0
0 + dx2y2 + 2dy2 = 0
dx2y2 + 2dy2 = 0

Solving
dx2y2 + 2dy2 = 0

Solving for variable 'd'.

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

Factor out the Greatest Common Factor (GCF), 'dy2'.
dy2(x2 + 2) = 0


Subproblem 1
Set the factor 'dy2' equal to zero and attempt to solve:

Simplifying
dy2 = 0

Solving
dy2 = 0

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

Simplifying
dy2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(x2 + 2)' equal to zero and attempt to solve:

Simplifying
x2 + 2 = 0

Reorder the terms:
2 + x2 = 0

Solving
2 + x2 = 0

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

Add '-2' to each side of the equation.
2 + -2 + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x2 = 0 + -2
x2 = 0 + -2

Combine like terms: 0 + -2 = -2
x2 = -2

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

Combine like terms: x2 + -1x2 = 0
0 = -2 + -1x2

Simplifying
0 = -2 + -1x2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 3x+18=6(x+3)-3x | | -19=-7+3v | | -8(11v+4)=4(-8+v) | | x(2x-3)+x(2x-3)=(4x+6)(x-6) | | -2(1+3x)=-8-5x | | X+5(x-4)=3(x-8)5 | | -p=0 | | 16x^2-9x-20=0 | | 5(1-n)=-7n-7 | | x(2x-3)+x(2x-3)=(4x-6)(x-6) | | -9x^2+23x-14=0 | | 30a^2-7a-2= | | 12=-3(2x+2)+7 | | 12=3(2x+2)+7 | | -4n+32=2n+5(6-n) | | 6(-b+6)=30-6b | | 0.13x+0.7(x-1)=0.01(3x-2) | | 6(p-1)+8=p-2(p-8) | | 0.3-0.8x-9=1 | | 5=4x-6 | | -n-3n=12 | | -9x^2+12x-1=0 | | -84+4y=-8y | | x^4+11x^2+28= | | 4.1(2x+1.5)=16.8 | | 4(x+5)=x+35 | | 3x^2+12x+4x+16=0 | | x+4+x=8 | | 3x^2+12x+4x+16=9 | | -7=3p+4p | | 0.008(9-k)+0.08(k-3)=1 | | 3n+3=7n-11 |

Equations solver categories