DY=(YTANX+2X)DX

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Solution for DY=(YTANX+2X)DX equation:


Simplifying
DY = (YTANX + 2X) * DX

Reorder the terms for easier multiplication:
DY = DX(ANTXY + 2X)
DY = (ANTXY * DX + 2X * DX)
DY = (ADNTX2Y + 2DX2)

Solving
DY = ADNTX2Y + 2DX2

Solving for variable 'D'.

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

Add '-1ADNTX2Y' to each side of the equation.
-1ADNTX2Y + DY = ADNTX2Y + -1ADNTX2Y + 2DX2

Combine like terms: ADNTX2Y + -1ADNTX2Y = 0
-1ADNTX2Y + DY = 0 + 2DX2
-1ADNTX2Y + DY = 2DX2

Add '-2DX2' to each side of the equation.
-1ADNTX2Y + -2DX2 + DY = 2DX2 + -2DX2

Combine like terms: 2DX2 + -2DX2 = 0
-1ADNTX2Y + -2DX2 + DY = 0

Factor out the Greatest Common Factor (GCF), 'D'.
D(-1ANTX2Y + -2X2 + Y) = 0

Subproblem 1

Set the factor 'D' equal to zero and attempt to solve: Simplifying D = 0 Solving D = 0 Move all terms containing D to the left, all other terms to the right. Simplifying D = 0

Subproblem 2

Set the factor '(-1ANTX2Y + -2X2 + Y)' equal to zero and attempt to solve: Simplifying -1ANTX2Y + -2X2 + Y = 0 Solving -1ANTX2Y + -2X2 + Y = 0 Move all terms containing D to the left, all other terms to the right. Add 'ANTX2Y' to each side of the equation. -1ANTX2Y + -2X2 + ANTX2Y + Y = 0 + ANTX2Y Reorder the terms: -1ANTX2Y + ANTX2Y + -2X2 + Y = 0 + ANTX2Y Combine like terms: -1ANTX2Y + ANTX2Y = 0 0 + -2X2 + Y = 0 + ANTX2Y -2X2 + Y = 0 + ANTX2Y Remove the zero: -2X2 + Y = ANTX2Y Add '2X2' to each side of the equation. -2X2 + 2X2 + Y = ANTX2Y + 2X2 Combine like terms: -2X2 + 2X2 = 0 0 + Y = ANTX2Y + 2X2 Y = ANTX2Y + 2X2 Add '-1Y' to each side of the equation. Y + -1Y = ANTX2Y + 2X2 + -1Y Combine like terms: Y + -1Y = 0 0 = ANTX2Y + 2X2 + -1Y Simplifying 0 = ANTX2Y + 2X2 + -1Y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

D = {0}

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