Thread: seperation of variables

dx/x=dy/(x+y)

Seperation of variables is not straight forward here. I have solved in maple and get y=(ln(x) + c1)*x. Since this is a fluids class I can use maple for the hw. How do you do this by hand. Is it a substitution type seperation of variables?

Originally Posted by MarionButler

dx/x=dy/(x+y)

Seperation of variables is not straight forward here. I have solved in maple and get y=(ln(x) + c1)*x. Since this is a fluids class I can use maple for the hw. How do you do this by hand. Is it a substitution type seperation of variables?

Re-write your DE as



We can do this two ways

1) Homogeneous: If you let the DE will separate

2) if we write the DE as this is linear with a integrating factor of