sin(3x)dx+2ycos^3(3x)dy=0

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Solution for sin(3x)dx+2ycos^3(3x)dy=0 equation: 


Simplifying
sin(3x) * dx + 2ycos3(3x) * dy = 0

Remove parenthesis around (3x)
ins * 3x * dx + 2ycos3(3x) * dy = 0

Reorder the terms for easier multiplication:
3ins * x * dx + 2ycos3(3x) * dy = 0

Multiply ins * x
3insx * dx + 2ycos3(3x) * dy = 0

Multiply insx * dx
3dinsx2 + 2ycos3(3x) * dy = 0

Remove parenthesis around (3x)
3dinsx2 + 2cos3y * 3x * dy = 0

Reorder the terms for easier multiplication:
3dinsx2 + 2 * 3cos3y * x * dy = 0

Multiply 2 * 3
3dinsx2 + 6cos3y * x * dy = 0

Multiply cos3y * x
3dinsx2 + 6cos3xy * dy = 0

Multiply cos3xy * dy
3dinsx2 + 6cdos3xy2 = 0

Reorder the terms:
6cdos3xy2 + 3dinsx2 = 0

Solving
6cdos3xy2 + 3dinsx2 = 0

Solving for variable 'c'.

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

Add '-3dinsx2' to each side of the equation.
6cdos3xy2 + 3dinsx2 + -3dinsx2 = 0 + -3dinsx2

Combine like terms: 3dinsx2 + -3dinsx2 = 0
6cdos3xy2 + 0 = 0 + -3dinsx2
6cdos3xy2 = 0 + -3dinsx2
Remove the zero:
6cdos3xy2 = -3dinsx2

Divide each side by '6dos3xy2'.
c = -0.5ino-1s-2xy-2

Simplifying
c = -0.5ino-1s-2xy-2

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