- #1
Mdhiggenz
- 327
- 1
Homework Statement
(x+2y+3)dx+(2x+4y-1)dy=0
a1= 1 b1=2 a2=2 b2=4
a2/a1=b2/b1
Therefore z=x+2y
Here is where I get confused I understand that they must get a dz in the equations thus they take the derivative with respect to y of the following equation z=x+2y
thus giving dz=dx+2 or dz-dx/2
What I don't understand is the simplification process that occurs now
(z+3)dx +(2z-1)(dz-dx/2)=0
then the book goes on to transform it into
7dx + (2z-1)dz=0
I have no idea what they did to get to that step.