[2*x*y*sen(3y)]dx+3*x^2*cos(3y)dy=0

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Solution for [2*x*y*sen(3y)]dx+3*x^2*cos(3y)dy=0 equation: 


Simplifying
[2x * y * sen(3y)] * dx + 3x2 * cos(3y) * dy = 0

Remove parenthesis around (3y)
[2x * y * ens * 3y] * dx + 3x2 * cos(3y) * dy = 0

Reorder the terms for easier multiplication:
[2 * 3x * y * ens * y] * dx + 3x2 * cos(3y) * dy = 0

Multiply 2 * 3
[6x * y * ens * y] * dx + 3x2 * cos(3y) * dy = 0

Multiply x * y
[6xy * ens * y] * dx + 3x2 * cos(3y) * dy = 0

Multiply xy * ens
[6ensxy * y] * dx + 3x2 * cos(3y) * dy = 0

Multiply ensxy * y
[6ensxy2] * dx + 3x2 * cos(3y) * dy = 0

Remove brackets around [6ensxy2]
6ensxy2 * dx + 3x2 * cos(3y) * dy = 0

Multiply ensxy2 * dx
6densx2y2 + 3x2 * cos(3y) * dy = 0

Remove parenthesis around (3y)
6densx2y2 + 3x2 * cos * 3y * dy = 0

Reorder the terms for easier multiplication:
6densx2y2 + 3 * 3x2 * cos * y * dy = 0

Multiply 3 * 3
6densx2y2 + 9x2 * cos * y * dy = 0

Multiply x2 * cos
6densx2y2 + 9cosx2 * y * dy = 0

Multiply cosx2 * y
6densx2y2 + 9cosx2y * dy = 0

Multiply cosx2y * dy
6densx2y2 + 9cdosx2y2 = 0

Reorder the terms:
9cdosx2y2 + 6densx2y2 = 0

Solving
9cdosx2y2 + 6densx2y2 = 0

Solving for variable 'c'.

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

Add '-6densx2y2' to each side of the equation.
9cdosx2y2 + 6densx2y2 + -6densx2y2 = 0 + -6densx2y2

Combine like terms: 6densx2y2 + -6densx2y2 = 0
9cdosx2y2 + 0 = 0 + -6densx2y2
9cdosx2y2 = 0 + -6densx2y2
Remove the zero:
9cdosx2y2 = -6densx2y2

Divide each side by '9dosx2y2'.
c = -0.6666666667eno-1

Simplifying
c = -0.6666666667eno-1

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