(2xy-3x^2)dx+(x^2+y^2)dy=0

Simple and best practice solution for (2xy-3x^2)dx+(x^2+y^2)dy=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (2xy-3x^2)dx+(x^2+y^2)dy=0 equation: 


Simplifying
(2xy + -3x2) * dx + (x2 + y2) * dy = 0

Reorder the terms for easier multiplication:
dx(2xy + -3x2) + (x2 + y2) * dy = 0
(2xy * dx + -3x2 * dx) + (x2 + y2) * dy = 0
(2dx2y + -3dx3) + (x2 + y2) * dy = 0

Reorder the terms for easier multiplication:
2dx2y + -3dx3 + dy(x2 + y2) = 0
2dx2y + -3dx3 + (x2 * dy + y2 * dy) = 0
2dx2y + -3dx3 + (dx2y + dy3) = 0

Reorder the terms:
2dx2y + dx2y + -3dx3 + dy3 = 0

Combine like terms: 2dx2y + dx2y = 3dx2y
3dx2y + -3dx3 + dy3 = 0

Solving
3dx2y + -3dx3 + dy3 = 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), 'd'.
d(3x2y + -3x3 + y3) = 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 '(3x2y + -3x3 + y3)' equal to zero and attempt to solve:

Simplifying
3x2y + -3x3 + y3 = 0

Solving
3x2y + -3x3 + y3 = 0

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

Add '-3x2y' to each side of the equation.
3x2y + -3x3 + -3x2y + y3 = 0 + -3x2y

Reorder the terms:
3x2y + -3x2y + -3x3 + y3 = 0 + -3x2y

Combine like terms: 3x2y + -3x2y = 0
0 + -3x3 + y3 = 0 + -3x2y
-3x3 + y3 = 0 + -3x2y
Remove the zero:
-3x3 + y3 = -3x2y

Add '3x3' to each side of the equation.
-3x3 + 3x3 + y3 = -3x2y + 3x3

Combine like terms: -3x3 + 3x3 = 0
0 + y3 = -3x2y + 3x3
y3 = -3x2y + 3x3

Add '-1y3' to each side of the equation.
y3 + -1y3 = -3x2y + 3x3 + -1y3

Combine like terms: y3 + -1y3 = 0
0 = -3x2y + 3x3 + -1y3

Simplifying
0 = -3x2y + 3x3 + -1y3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
d = {0}

See similar equations:

| a^3+2a^2-36a+140=0 | | 46.9/x=1.11 | | 35.6/x=0.81 | | 43.6/x=0.96 | | 6(3x+7)=48 | | 42.7/x=1.08 | | 47.2/x=1.10 | | 2x^2-6x=70 | | 2x-6x=70 | | 40.8/x=0.97 | | 46.5/x=1.09 | | 4m-7=6m+5 | | 45.1/x=1.47 | | 56.6/x=1.47 | | 2500/x=4 | | 4(3p+2)=44 | | 45/x=0.93 | | 49.8/x=1.07 | | 16r^3-16r^2+2=0 | | 48.6/x=1.11 | | x^2+3x-1=2x+5 | | x^2+15x+5=8x-1 | | 35.5/x=0.86 | | x^2-3x-2=8 | | x^2+13x=8 | | 45.2/x=0.89 | | 10d+3=4d+21 | | 43.6/x=1.06 | | 7a-3b-2a+6b= | | 49/x=1.09 | | (3/4x5/2):3/4 | | 37.7/x=0.69 |

Equations solver categories