(2)dy=(3xy)dx

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Solution for (2)dy=(3xy)dx equation: 


Simplifying
(2) * dy = (3xy) * dx

Remove parenthesis around (3xy)
2dy = 3xy * dx

Multiply xy * dx
2dy = 3dx2y

Solving
2dy = 3dx2y

Solving for variable 'd'.

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

Add '-3dx2y' to each side of the equation.
-3dx2y + 2dy = 3dx2y + -3dx2y

Combine like terms: 3dx2y + -3dx2y = 0
-3dx2y + 2dy = 0

Factor out the Greatest Common Factor (GCF), 'dy'.
dy(-3x2 + 2) = 0


Subproblem 1
Set the factor 'dy' equal to zero and attempt to solve:

Simplifying
dy = 0

Solving
dy = 0

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

Simplifying
dy = 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 '(-3x2 + 2)' equal to zero and attempt to solve:

Simplifying
-3x2 + 2 = 0

Reorder the terms:
2 + -3x2 = 0

Solving
2 + -3x2 = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x2 = 0 + -2
-3x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-3x2 = -2

Add '3x2' to each side of the equation.
-3x2 + 3x2 = -2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
0 = -2 + 3x2

Simplifying
0 = -2 + 3x2

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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