lnx*sin^3*y*dx+x*cosy*dy=0

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Solution for lnx*sin^3*y*dx+x*cosy*dy=0 equation: 


Simplifying
lnx * sin3 * y * dx + x * cosy * dy = 0

Multiply lnx * in3s
iln4sx * y * dx + x * cosy * dy = 0

Multiply iln4sx * y
iln4sxy * dx + x * cosy * dy = 0

Multiply iln4sxy * dx
diln4sx2y + x * cosy * dy = 0

Multiply x * cosy
diln4sx2y + cosxy * dy = 0

Multiply cosxy * dy
diln4sx2y + cdosxy2 = 0

Reorder the terms:
cdosxy2 + diln4sx2y = 0

Solving
cdosxy2 + diln4sx2y = 0

Solving for variable 'c'.

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

Add '-1diln4sx2y' to each side of the equation.
cdosxy2 + diln4sx2y + -1diln4sx2y = 0 + -1diln4sx2y

Combine like terms: diln4sx2y + -1diln4sx2y = 0
cdosxy2 + 0 = 0 + -1diln4sx2y
cdosxy2 = 0 + -1diln4sx2y
Remove the zero:
cdosxy2 = -1diln4sx2y

Divide each side by 'dosxy2'.
c = -1iln4o-1xy-1

Simplifying
c = -1iln4o-1xy-1

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