# Math Help - why isnt this function linear?

1. ## why isnt this function linear?

if i do enough of these problems i will eventually get it....

ok i see that the problem is homogeneous, but why cant it be linear?

x dy/dx = ye^(x/y) - x

i rewrote it in the form....

dy/dx - (ye^(x/y))/x = -1

2. $y'+P(x)y=Q(x)$ is a linear ODE, note that in your rewriting $P(x)$ depends of $x$ and $y,$ so it's not linear.