(x+y-1)dx+(-x+3y+3)dy=0

Simple and best practice solution for (x+y-1)dx+(-x+3y+3)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 (x+y-1)dx+(-x+3y+3)dy=0 equation:


Simplifying
(x + y + -1) * dx + (-1x + 3y + 3) * dy = 0

Reorder the terms:
(-1 + x + y) * dx + (-1x + 3y + 3) * dy = 0

Reorder the terms for easier multiplication:
dx(-1 + x + y) + (-1x + 3y + 3) * dy = 0
(-1 * dx + x * dx + y * dx) + (-1x + 3y + 3) * dy = 0

Reorder the terms:
(-1dx + dxy + dx2) + (-1x + 3y + 3) * dy = 0
(-1dx + dxy + dx2) + (-1x + 3y + 3) * dy = 0

Reorder the terms:
-1dx + dxy + dx2 + (3 + -1x + 3y) * dy = 0

Reorder the terms for easier multiplication:
-1dx + dxy + dx2 + dy(3 + -1x + 3y) = 0
-1dx + dxy + dx2 + (3 * dy + -1x * dy + 3y * dy) = 0

Reorder the terms:
-1dx + dxy + dx2 + (-1dxy + 3dy + 3dy2) = 0
-1dx + dxy + dx2 + (-1dxy + 3dy + 3dy2) = 0

Reorder the terms:
-1dx + dxy + -1dxy + dx2 + 3dy + 3dy2 = 0

Combine like terms: dxy + -1dxy = 0
-1dx + 0 + dx2 + 3dy + 3dy2 = 0
-1dx + dx2 + 3dy + 3dy2 = 0

Solving
-1dx + dx2 + 3dy + 3dy2 = 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), 'd'.
d(-1x + x2 + 3y + 3y2) = 0

Subproblem 1

Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0

Subproblem 2

Set the factor '(-1x + x2 + 3y + 3y2)' equal to zero and attempt to solve: Simplifying -1x + x2 + 3y + 3y2 = 0 Solving -1x + x2 + 3y + 3y2 = 0 Move all terms containing d to the left, all other terms to the right. Add 'x' to each side of the equation. -1x + x2 + 3y + x + 3y2 = 0 + x Reorder the terms: -1x + x + x2 + 3y + 3y2 = 0 + x Combine like terms: -1x + x = 0 0 + x2 + 3y + 3y2 = 0 + x x2 + 3y + 3y2 = 0 + x Remove the zero: x2 + 3y + 3y2 = x Add '-1x2' to each side of the equation. x2 + 3y + -1x2 + 3y2 = x + -1x2 Reorder the terms: x2 + -1x2 + 3y + 3y2 = x + -1x2 Combine like terms: x2 + -1x2 = 0 0 + 3y + 3y2 = x + -1x2 3y + 3y2 = x + -1x2 Add '-3y' to each side of the equation. 3y + -3y + 3y2 = x + -1x2 + -3y Combine like terms: 3y + -3y = 0 0 + 3y2 = x + -1x2 + -3y 3y2 = x + -1x2 + -3y Add '-3y2' to each side of the equation. 3y2 + -3y2 = x + -1x2 + -3y + -3y2 Combine like terms: 3y2 + -3y2 = 0 0 = x + -1x2 + -3y + -3y2 Simplifying 0 = x + -1x2 + -3y + -3y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

d = {0}

See similar equations:

| 3/51/x7/9 | | 17*16=34*8 | | (5m+7)(m-8)=0 | | z^2=8+4*i | | -2x=18+3x | | 20x+5y=99 | | 1439=(8x+12y) | | r(2s+2)= | | (x+1)(2x+5)(2x+3)(x+1)=945 | | 1439=8x+12y | | 48-6x=90-3x | | 5v(t+2)= | | 5.6=0.2z+7.38 | | (x-5)=25-5x | | (14/x)=(17/x) | | ln(x)=x-5 | | 8x+9=x-33 | | X=0.04x^2+8.3x+4.3 | | X^2=0.5(ln(x)) | | X(12-x)=11 | | 10x-4=8-2x | | X^2-10x=18 | | -13=1-2n | | dy/dx=sin(y-x)^2 | | dy/dx=sin(y-x)2 | | dy/dx=sin^2(y-x) | | (x^2+xy)dy+(y^2)dx=0 | | 5(7+x)=110 | | 0=X^2+8x-56 | | 15x+6y+7=0 | | 15y=13t*20 | | 2x+3(x-5)=10-(x+2) |

Equations solver categories