(y^2*sen(x))dx+(2xy+sec^2(y))dy=0

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Solution for (y^2*sen(x))dx+(2xy+sec^2(y))dy=0 equation: 


Simplifying
(y2 * sen(x)) * dx + (2xy + sec2(y)) * dy = 0

Multiply y2 * ens
(ensy2 * x) * dx + (2xy + sec2(y)) * dy = 0

Multiply ensy2 * x
(ensxy2) * dx + (2xy + sec2(y)) * dy = 0

Multiply ensxy2 * dx
densx2y2 + (2xy + sec2(y)) * dy = 0

Multiply c2es * y
densx2y2 + (2xy + c2esy) * dy = 0

Reorder the terms:
densx2y2 + (c2esy + 2xy) * dy = 0

Reorder the terms for easier multiplication:
densx2y2 + dy(c2esy + 2xy) = 0
densx2y2 + (c2esy * dy + 2xy * dy) = 0
densx2y2 + (c2desy2 + 2dxy2) = 0

Reorder the terms:
c2desy2 + densx2y2 + 2dxy2 = 0

Solving
c2desy2 + densx2y2 + 2dxy2 = 0

Solving for variable 'c'.

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

Add '-1densx2y2' to each side of the equation.
c2desy2 + densx2y2 + -1densx2y2 + 2dxy2 = 0 + -1densx2y2

Combine like terms: densx2y2 + -1densx2y2 = 0
c2desy2 + 0 + 2dxy2 = 0 + -1densx2y2
c2desy2 + 2dxy2 = 0 + -1densx2y2
Remove the zero:
c2desy2 + 2dxy2 = -1densx2y2

Add '-2dxy2' to each side of the equation.
c2desy2 + 2dxy2 + -2dxy2 = -1densx2y2 + -2dxy2

Combine like terms: 2dxy2 + -2dxy2 = 0
c2desy2 + 0 = -1densx2y2 + -2dxy2
c2desy2 = -1densx2y2 + -2dxy2

Divide each side by 'desy2'.
c2 = -1nx2 + -2e-1s-1x

Simplifying
c2 = -1nx2 + -2e-1s-1x

Reorder the terms:
c2 = -2e-1s-1x + -1nx2

Reorder the terms:
c2 + 2e-1s-1x + nx2 = -2e-1s-1x + 2e-1s-1x + -1nx2 + nx2

Combine like terms: -2e-1s-1x + 2e-1s-1x = 0
c2 + 2e-1s-1x + nx2 = 0 + -1nx2 + nx2
c2 + 2e-1s-1x + nx2 = -1nx2 + nx2

Combine like terms: -1nx2 + nx2 = 0
c2 + 2e-1s-1x + nx2 = 0

The solution to this equation could not be determined.

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