(x^2*y)dx(y^2+5)dy=0

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Solution for (x^2*y)dx(y^2+5)dy=0 equation: 


Simplifying
(x2 * y) * dx(y2 + 5) * dy = 0

Multiply x2 * y
(x2y) * dx(y2 + 5) * dy = 0

Reorder the terms:
x2y * dx(5 + y2) * dy = 0

Reorder the terms for easier multiplication:
x2y * dx * dy(5 + y2) = 0

Multiply x2y * dx
dx3y * dy(5 + y2) = 0

Multiply dx3y * dy
d2x3y2(5 + y2) = 0
(5 * d2x3y2 + y2 * d2x3y2) = 0
(5d2x3y2 + d2x3y4) = 0

Solving
5d2x3y2 + d2x3y4 = 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), 'd2x3y2'.
d2x3y2(5 + y2) = 0


Subproblem 1
Set the factor 'd2x3y2' equal to zero and attempt to solve:

Simplifying
d2x3y2 = 0

Solving
d2x3y2 = 0

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

Simplifying
d2x3y2 = 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 '(5 + y2)' equal to zero and attempt to solve:

Simplifying
5 + y2 = 0

Solving
5 + y2 = 0

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

Add '-5' to each side of the equation.
5 + -5 + y2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + y2 = 0 + -5
y2 = 0 + -5

Combine like terms: 0 + -5 = -5
y2 = -5

Add '-1y2' to each side of the equation.
y2 + -1y2 = -5 + -1y2

Combine like terms: y2 + -1y2 = 0
0 = -5 + -1y2

Simplifying
0 = -5 + -1y2

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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