(2x² y – 3y4) dx + (3x3 + 2xy³) dy=0.
Answers
Simplifying
(2x2y + -3y4) * dx + (3x3 + -2xy3) * dy = 0
Reorder the terms for easier multiplication:
dx(2x2y + -3y4) + (3x3 + -2xy3) * dy = 0
(2x2y * dx + -3y4 * dx) + (3x3 + -2xy3) * dy = 0
Reorder the terms:
(-3dxy4 + 2dx3y) + (3x3 + -2xy3) * dy = 0
(-3dxy4 + 2dx3y) + (3x3 + -2xy3) * dy = 0
Reorder the terms:
-3dxy4 + 2dx3y + (-2xy3 + 3x3) * dy = 0
Reorder the terms for easier multiplication:
-3dxy4 + 2dx3y + dy(-2xy3 + 3x3) = 0
-3dxy4 + 2dx3y + (-2xy3 * dy + 3x3 * dy) = 0
-3dxy4 + 2dx3y + (-2dxy4 + 3dx3y) = 0
Reorder the terms:
-3dxy4 + -2dxy4 + 2dx3y + 3dx3y = 0
Combine like terms:
-3dxy4 + -2dxy4 = -5dxy4 -5dxy4 + 2dx3y + 3dx3y = 0
Combine like terms:
2dx3y + 3dx3y = 5dx3y -5dxy4 + 5dx3y = 0
Solving -5dxy4 + 5dx3y = 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),
'5dxy'. 5dxy(-1y3 + x2) = 0 Ignore the factor 5.
Subproblem 1
Set the factor 'dxy' equal to zero and attempt to solve:
Simplifying dxy = 0
Solving dxy = 0
Move all terms containing d to the left, all other terms to the right. Simplifying dxy = 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 '(-1y3 + x2)' equal to zero and attempt to solve:
Simplifying -1y3 + x2 = 0
Reorder the terms: x2 + -1y3 = 0
Solving x2 + -1y3 = 0
Move all terms containing d to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
x2 + -1x2 + -1y3 = 0 + -1x2
Combine like terms: x2 + -1x2 = 0 0 + -1y3 = 0 + -1x2 -1y3 = 0 + -1x2
Remove the zero: -1y3 = -1x2
Add 'y3' to each side of the equation. -1y3 + y3 = -1x2 + y3
Combine like terms: -1y3 + y3 = 0 0 = -1x2 + y3
Simplifying 0 = -1x2 + y3
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.