(x+y+1)DX+(x+y)dy=0

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


Simplifying
(x + y + 1) * DX + (x + y) * dy = 0

Reorder the terms:
(1 + x + y) * DX + (x + y) * dy = 0

Reorder the terms for easier multiplication:
DX(1 + x + y) + (x + y) * dy = 0
(1 * DX + x * DX + y * DX) + (x + y) * dy = 0
(1DX + xDX + yDX) + (x + y) * dy = 0

Reorder the terms for easier multiplication:
1DX + xDX + yDX + dy(x + y) = 0
1DX + xDX + yDX + (x * dy + y * dy) = 0
1DX + xDX + yDX + (dxy + dy2) = 0

Reorder the terms:
1DX + dxy + dy2 + xDX + yDX = 0

Solving
1DX + dxy + dy2 + xDX + yDX = 0

Solving for variable 'D'.

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

Add '-1dxy' to each side of the equation.
1DX + dxy + dy2 + xDX + -1dxy + yDX = 0 + -1dxy

Reorder the terms:
1DX + dxy + -1dxy + dy2 + xDX + yDX = 0 + -1dxy

Combine like terms: dxy + -1dxy = 0
1DX + 0 + dy2 + xDX + yDX = 0 + -1dxy
1DX + dy2 + xDX + yDX = 0 + -1dxy
Remove the zero:
1DX + dy2 + xDX + yDX = -1dxy

Add '-1dy2' to each side of the equation.
1DX + dy2 + xDX + -1dy2 + yDX = -1dxy + -1dy2

Reorder the terms:
1DX + dy2 + -1dy2 + xDX + yDX = -1dxy + -1dy2

Combine like terms: dy2 + -1dy2 = 0
1DX + 0 + xDX + yDX = -1dxy + -1dy2
1DX + xDX + yDX = -1dxy + -1dy2

Reorder the terms:
1DX + dxy + dy2 + xDX + yDX = -1dxy + -1dy2 + dxy + dy2

Reorder the terms:
1DX + dxy + dy2 + xDX + yDX = -1dxy + dxy + -1dy2 + dy2

Combine like terms: -1dxy + dxy = 0
1DX + dxy + dy2 + xDX + yDX = 0 + -1dy2 + dy2
1DX + dxy + dy2 + xDX + yDX = -1dy2 + dy2

Combine like terms: -1dy2 + dy2 = 0
1DX + dxy + dy2 + xDX + yDX = 0

The solution to this equation could not be determined.

See similar equations:

| 2In(5x)-2Inx=7 | | 2n-10=22-2n | | 3in(5x)-2Inx=7 | | 100+200+100+50+50=x | | 3x-25=2(3x-3)-1 | | 5z+7y+36=0 | | 4x(3+x)=8 | | m+0.7=1-0.2m | | 2x+34=4(2x-5) | | 100+200+100+50+50= | | X+(X+3)=7 | | -20.57=m+5 | | 8n-2n=36 | | 2x+5s-12=0 | | Abc+cba=CAB | | 5/6-0.2= | | 5.1=x/0.3 | | 3x^2+7x-25=-5 | | 15/x=13 | | Z/-4=11 | | 72=12x+4h | | Y/-2=32 | | 0=x^3-7x^2+36 | | 36x/12x | | 6-4=44 | | -12-10=-12+34 | | 4cos^2(x)+1=0 | | 1(4y+2)=18 | | 12y-36=5y | | X+2x+3X+4X+5X+6X+7X+8X+9X+10x+11x+12x=100 | | X+2x+3X+4X+5X+6X+7X+8X+9X+10x+11x+12x+13x+14x+15x=100 | | M=5cx(2c-5) |

Equations solver categories