(x^2-sin^2(y))dx+xsin(2y)dy=0

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Solution for (x^2-sin^2(y))dx+xsin(2y)dy=0 equation:


Simplifying
(x2 + -1sin2(y)) * dx + xsin(2y) * dy = 0

Multiply in2s * y
(x2 + -1in2sy) * dx + xsin(2y) * dy = 0

Reorder the terms:
(-1in2sy + x2) * dx + xsin(2y) * dy = 0

Reorder the terms for easier multiplication:
dx(-1in2sy + x2) + xsin(2y) * dy = 0
(-1in2sy * dx + x2 * dx) + xsin(2y) * dy = 0
(-1din2sxy + dx3) + xsin(2y) * dy = 0

Remove parenthesis around (2y)
-1din2sxy + dx3 + insx * 2y * dy = 0

Reorder the terms for easier multiplication:
-1din2sxy + dx3 + 2insx * y * dy = 0

Multiply insx * y
-1din2sxy + dx3 + 2insxy * dy = 0

Multiply insxy * dy
-1din2sxy + dx3 + 2dinsxy2 = 0

Reorder the terms:
2dinsxy2 + -1din2sxy + dx3 = 0

Solving
2dinsxy2 + -1din2sxy + dx3 = 0

Solving for variable 'd'.

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

Factor out the Greatest Common Factor (GCF), 'dx'.
dx(2insy2 + -1in2sy + x2) = 0

Subproblem 1

Set the factor 'dx' equal to zero and attempt to solve: Simplifying dx = 0 Solving dx = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx = 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 '(2insy2 + -1in2sy + x2)' equal to zero and attempt to solve: Simplifying 2insy2 + -1in2sy + x2 = 0 Solving 2insy2 + -1in2sy + x2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-2insy2' to each side of the equation. 2insy2 + -1in2sy + -2insy2 + x2 = 0 + -2insy2 Reorder the terms: 2insy2 + -2insy2 + -1in2sy + x2 = 0 + -2insy2 Combine like terms: 2insy2 + -2insy2 = 0 0 + -1in2sy + x2 = 0 + -2insy2 -1in2sy + x2 = 0 + -2insy2 Remove the zero: -1in2sy + x2 = -2insy2 Add 'in2sy' to each side of the equation. -1in2sy + in2sy + x2 = -2insy2 + in2sy Combine like terms: -1in2sy + in2sy = 0 0 + x2 = -2insy2 + in2sy x2 = -2insy2 + in2sy Add '-1x2' to each side of the equation. x2 + -1x2 = -2insy2 + in2sy + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -2insy2 + in2sy + -1x2 Simplifying 0 = -2insy2 + in2sy + -1x2 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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