(6*y+x*cos(x*y))dy+(6*x+y*cos(x*y))dx=0

Simple and best practice solution for (6*y+x*cos(x*y))dy+(6*x+y*cos(x*y))dx=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 (6*y+x*cos(x*y))dy+(6*x+y*cos(x*y))dx=0 equation: 


Simplifying
(6y + x * cos(x * y)) * dy + (6x + y * cos(x * y)) * dx = 0

Multiply x * y
(6y + x * cos(xy)) * dy + (6x + y * cos(x * y)) * dx = 0

Multiply x * cos
(6y + cosx * xy) * dy + (6x + y * cos(x * y)) * dx = 0

Multiply cosx * xy
(6y + cosx2y) * dy + (6x + y * cos(x * y)) * dx = 0

Reorder the terms:
(cosx2y + 6y) * dy + (6x + y * cos(x * y)) * dx = 0

Reorder the terms for easier multiplication:
dy(cosx2y + 6y) + (6x + y * cos(x * y)) * dx = 0
(cosx2y * dy + 6y * dy) + (6x + y * cos(x * y)) * dx = 0
(cdosx2y2 + 6dy2) + (6x + y * cos(x * y)) * dx = 0

Multiply x * y
cdosx2y2 + 6dy2 + (6x + y * cos(xy)) * dx = 0

Multiply y * cos
cdosx2y2 + 6dy2 + (6x + cosy * xy) * dx = 0

Multiply cosy * xy
cdosx2y2 + 6dy2 + (6x + cosxy2) * dx = 0

Reorder the terms:
cdosx2y2 + 6dy2 + (cosxy2 + 6x) * dx = 0

Reorder the terms for easier multiplication:
cdosx2y2 + 6dy2 + dx(cosxy2 + 6x) = 0
cdosx2y2 + 6dy2 + (cosxy2 * dx + 6x * dx) = 0
cdosx2y2 + 6dy2 + (cdosx2y2 + 6dx2) = 0

Reorder the terms:
cdosx2y2 + cdosx2y2 + 6dx2 + 6dy2 = 0

Combine like terms: cdosx2y2 + cdosx2y2 = 2cdosx2y2
2cdosx2y2 + 6dx2 + 6dy2 = 0

Solving
2cdosx2y2 + 6dx2 + 6dy2 = 0

Solving for variable 'c'.

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

Add '-6dx2' to each side of the equation.
2cdosx2y2 + 6dx2 + -6dx2 + 6dy2 = 0 + -6dx2

Combine like terms: 6dx2 + -6dx2 = 0
2cdosx2y2 + 0 + 6dy2 = 0 + -6dx2
2cdosx2y2 + 6dy2 = 0 + -6dx2
Remove the zero:
2cdosx2y2 + 6dy2 = -6dx2

Add '-6dy2' to each side of the equation.
2cdosx2y2 + 6dy2 + -6dy2 = -6dx2 + -6dy2

Combine like terms: 6dy2 + -6dy2 = 0
2cdosx2y2 + 0 = -6dx2 + -6dy2
2cdosx2y2 = -6dx2 + -6dy2

Divide each side by '2dosx2y2'.
c = -3o-1s-1y-2 + -3o-1s-1x-2

Simplifying
c = -3o-1s-1y-2 + -3o-1s-1x-2

Reorder the terms:
c = -3o-1s-1x-2 + -3o-1s-1y-2

See similar equations:

| -5600-(-200x)=0 | | 4a-7=2(a+1)+9a+1 | | -4f*2+-3g*3+-10-5f= | | -6(5x-3)=-282 | | 8d^4+512=0 | | 4x-2(-6x-9)=142 | | -16(t^2-196)=0 | | (x)(6)+9=9x | | 4(x-22)=12 | | 4(5)+-4= | | 3(4u*2+6)+7u= | | -5x+2=-2-4x | | 3-4y-5=10 | | 100=2d^2+6d+9 | | -6y^2-2916=-2166 | | 7x+3x+5=x-8+13 | | -5+7x+42=x+37 | | b*2-b*2= | | 5x-70=15x | | 2(3k+7k)= | | 4+3a=9-2a | | -2v^2-3v+14=0 | | 5y+3=3y-3 | | x^2-7x+45=0 | | 3(2)/-4= | | 8y+3w+2y+6w= | | 3y+3y=5y+7 | | -10=3v-4 | | 4x^2-21x+12=0 | | 11z+31-4z=86+6z | | 2+6(1+7g)= | | 10x+6=20x |

Equations solver categories