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

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


Simplifying
sen(y) * cos(x) * dx + cos2(x) * dy = 0

Multiply ens * y
ensy * cos * x * dx + cos2(x) * dy = 0

Multiply ensy * cos
cenos2y * x * dx + cos2(x) * dy = 0

Multiply cenos2y * x
cenos2xy * dx + cos2(x) * dy = 0

Multiply cenos2xy * dx
cdenos2x2y + cos2(x) * dy = 0

Multiply cos2 * x
cdenos2x2y + cos2x * dy = 0

Multiply cos2x * dy
cdenos2x2y + cdos2xy = 0

Solving
cdenos2x2y + cdos2xy = 0

Solving for variable 'c'.

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

Factor out the Greatest Common Factor (GCF), 'cdos2xy'.
cdos2xy(enx + 1) = 0

Subproblem 1

Set the factor 'cdos2xy' equal to zero and attempt to solve: Simplifying cdos2xy = 0 Solving cdos2xy = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cdos2xy = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(enx + 1)' equal to zero and attempt to solve: Simplifying enx + 1 = 0 Reorder the terms: 1 + enx = 0 Solving 1 + enx = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + enx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + enx = 0 + -1 enx = 0 + -1 Combine like terms: 0 + -1 = -1 enx = -1 Add '-1enx' to each side of the equation. enx + -1enx = -1 + -1enx Combine like terms: enx + -1enx = 0 0 = -1 + -1enx Simplifying 0 = -1 + -1enx The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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