2ydx+(x+y)dy=0

Simple and best practice solution for 2ydx+(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 2ydx+(x+y)dy=0 equation:


Simplifying
2ydx + (x + y) * dy = 0

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

Combine like terms: 2dxy + dxy = 3dxy
3dxy + dy2 = 0

Solving
3dxy + dy2 = 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), 'dy'.
dy(3x + y) = 0

Subproblem 1

Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy = 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 '(3x + y)' equal to zero and attempt to solve: Simplifying 3x + y = 0 Solving 3x + y = 0 Move all terms containing d to the left, all other terms to the right. Add '-3x' to each side of the equation. 3x + -3x + y = 0 + -3x Combine like terms: 3x + -3x = 0 0 + y = 0 + -3x y = 0 + -3x Remove the zero: y = -3x Add '-1y' to each side of the equation. y + -1y = -3x + -1y Combine like terms: y + -1y = 0 0 = -3x + -1y Simplifying 0 = -3x + -1y 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:

| 10n-30=10(2n+1) | | z^2+z=144 | | 7x-7y=-7 | | 280+4t=282 | | 18x-2(3x+1)=5x-16 | | 5(v+7)=3v+37 | | 3x+3=-9+6x | | pn=qx-r | | 14x+13=6x+29 | | 3y-4-5y=4 | | -3t+-15+(4t+2)=8 | | -8=2/5(k-2) | | 39.95+.99(16)= | | -49x+50x= | | 7x+3=x+9 | | x=7-4.5y | | 3k+3=8 | | 6(3x-5)-7x= | | 3y^2+[6y^2+(3y-4)]=0 | | 96=6(1-3x) | | 2x+9y=142 | | 2(2x-2)=5 | | 5*x=18 | | 5ln(2x+2)=12 | | ax-x^2-bx+ab=0 | | 6+6x=7x-4 | | 16r+5=11 | | 3(4z+4)=-2(z+9) | | 4x-7(x-8)=40 | | -5(7x-5)=-4-2(2x+1) | | (x^2+2x-6)(x+5)= | | 6x^4y^2+18x^3y^3-24x^2y^4=0 |

Equations solver categories