(5y+cosx+6xy^2)dx+(5x+6x^2y)dy=0

Simple and best practice solution for (5y+cosx+6xy^2)dx+(5x+6x^2y)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 (5y+cosx+6xy^2)dx+(5x+6x^2y)dy=0 equation: 


Simplifying
(5y + cosx + 6xy2) * dx + (5x + 6x2y) * dy = 0

Reorder the terms:
(cosx + 6xy2 + 5y) * dx + (5x + 6x2y) * dy = 0

Reorder the terms for easier multiplication:
dx(cosx + 6xy2 + 5y) + (5x + 6x2y) * dy = 0
(cosx * dx + 6xy2 * dx + 5y * dx) + (5x + 6x2y) * dy = 0

Reorder the terms:
(cdosx2 + 5dxy + 6dx2y2) + (5x + 6x2y) * dy = 0
(cdosx2 + 5dxy + 6dx2y2) + (5x + 6x2y) * dy = 0

Reorder the terms for easier multiplication:
cdosx2 + 5dxy + 6dx2y2 + dy(5x + 6x2y) = 0
cdosx2 + 5dxy + 6dx2y2 + (5x * dy + 6x2y * dy) = 0
cdosx2 + 5dxy + 6dx2y2 + (5dxy + 6dx2y2) = 0

Reorder the terms:
cdosx2 + 5dxy + 5dxy + 6dx2y2 + 6dx2y2 = 0

Combine like terms: 5dxy + 5dxy = 10dxy
cdosx2 + 10dxy + 6dx2y2 + 6dx2y2 = 0

Combine like terms: 6dx2y2 + 6dx2y2 = 12dx2y2
cdosx2 + 10dxy + 12dx2y2 = 0

Solving
cdosx2 + 10dxy + 12dx2y2 = 0

Solving for variable 'c'.

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

Add '-10dxy' to each side of the equation.
cdosx2 + 10dxy + -10dxy + 12dx2y2 = 0 + -10dxy

Combine like terms: 10dxy + -10dxy = 0
cdosx2 + 0 + 12dx2y2 = 0 + -10dxy
cdosx2 + 12dx2y2 = 0 + -10dxy
Remove the zero:
cdosx2 + 12dx2y2 = -10dxy

Add '-12dx2y2' to each side of the equation.
cdosx2 + 12dx2y2 + -12dx2y2 = -10dxy + -12dx2y2

Combine like terms: 12dx2y2 + -12dx2y2 = 0
cdosx2 + 0 = -10dxy + -12dx2y2
cdosx2 = -10dxy + -12dx2y2

Divide each side by 'dosx2'.
c = -10o-1s-1x-1y + -12o-1s-1y2

Simplifying
c = -10o-1s-1x-1y + -12o-1s-1y2

See similar equations:

| 28=-4(m+3)+8 | | x^3-13x^2+41x+18=0 | | 2/3=7x-1/2 | | 6j-2j=16 | | -15xsquared-21x=0 | | 5y+-3x=9 | | (0-x)+(10-4)= | | 0.3+0.6x=4.5 | | -5+x=4x+28 | | -3(p-5)+6p=45 | | 8n(5n+6)=15 | | -6+b-8=10-5b | | 9x-y=-6x+y | | 8m-(5n+6)=15 | | 1/9x-10=-30 | | y=(x+1)(6x-6)-6xsqaured | | (t-4)=6 | | -10c=-9c-10 | | 5x+1y=80 | | 9x=x+64 | | -d+15-8d=60 | | 3=3w-3 | | 7s-3=6s+3 | | T+(-10)=0 | | F(x)=x^3-2x^2-2x-3 | | 5y=139 | | 2h-8+10h=52 | | (m+3)2=7 | | 5x-4=23x-2 | | 5(n-13)=30 | | 4+t=-1 | | 3x+8+9x+7+3x=180 |

Equations solver categories