(2x^2y - 3y^4)dx + (3x + 2xy^3)dy=0
Answers
Answer:
Step-by-step explanation:
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.
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 is being ignored because a solution could not be determined.
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 is being ignored because a solution could not be determined.
The solution to this equation could not be determined.
Answer:
Step-by-step explanation: