Question

Solve (3y+2x-8)dx = (x+2y-3)dy

Answer 1

u want me to factor? or solve for d and y?

Answer 2

i think this is ur answer: −2dxy+2dy2−3dy=2dx2−8dx

Answer 3

this is how u get it

Answer 4

(3y+2x−8)dx=(x+2y−3)dy

Since y is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.

dy(x+2y−3)=dx(3y+2x−8)

Multiply dx by each term inside the parentheses.

dy(x+2y−3)=3dxy+2dx2−8dx

Multiply dy by each term inside the parentheses.


dxy+2dy2−3dy=3dxy+2dx2−8dx

Since 3dxy contains the variable to solve for, move it to the left-hand side of the equation by subtracting 3dxy from both sides.

dxy+2dy2−3dy−3dxy=2dx2−8dx

Since dxy and −3dxy are like terms, add −3dxy to dxy to get −2dxy.

−2dxy+2dy2−3dy=2dx2−8dx

Answer 5

@dorin2