ydx=x(lnx-lny)dy

Simple and best practice solution for ydx=x(lnx-lny)dy 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 ydx=x(lnx-lny)dy equation:


Simplifying
ydx = x(lnx + -1lny) * dy

Reorder the terms for easier multiplication:
dxy = x * dy(lnx + -1lny)

Multiply x * dy
dxy = dxy(lnx + -1lny)
dxy = (lnx * dxy + -1lny * dxy)

Reorder the terms:
dxy = (-1dlnxy2 + dlnx2y)
dxy = (-1dlnxy2 + dlnx2y)

Solving
dxy = -1dlnxy2 + dlnx2y

Solving for variable 'd'.

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

Add 'dlnxy2' to each side of the equation.
dlnxy2 + dxy = -1dlnxy2 + dlnxy2 + dlnx2y

Combine like terms: -1dlnxy2 + dlnxy2 = 0
dlnxy2 + dxy = 0 + dlnx2y
dlnxy2 + dxy = dlnx2y

Add '-1dlnx2y' to each side of the equation.
dlnxy2 + -1dlnx2y + dxy = dlnx2y + -1dlnx2y

Combine like terms: dlnx2y + -1dlnx2y = 0
dlnxy2 + -1dlnx2y + dxy = 0

Factor out the Greatest Common Factor (GCF), 'dxy'.
dxy(lny + -1lnx + 1) = 0

Subproblem 1

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

| 5x=(3x-3)(m+4) | | 0.90n=n+15 | | -17+8x=14 | | 0.75p=18 | | 8x-4x+5=x-5+10 | | 2x+40=9x-2 | | 0=1/3x=1 | | 11r+60=15 | | 8(v+3)-2v=3(2v+4)-18 | | 3(x-8)=x+2 | | a=cx+bc | | 11x-12=5(2x+3)-3 | | 6/27 | | 0.06t+0.09(t+500)=150 | | 2x+17=9x-4 | | 2(t-3)-5(5t-6)=9-6(7t-5) | | 16(1/2)= | | 9m^5-18m^3-12m^2+81= | | 5x+10=3+24 | | X-2/3y=1/4 | | 8x^3-20x^2+6x-15=0 | | 4[1-(-2x-2)]=72x+76 | | 2x-4=14-x | | 12x-5=10x+7 | | 9+11=711 | | p=y+s-1 | | 2x/3-4=x/6-3/2 | | 4x+6-2(x+1)=8x+9 | | 11x+5=13x-7 | | 4x+8+xy+2y=0 | | 1/4x-1/5(x-3)=5x | | -11x+10y=5 |

Equations solver categories