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

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- Feb 13th 2011, 04:09 PMslapmaxwell1why 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 - Feb 13th 2011, 04:13 PMKrizalid
$\displaystyle y'+P(x)y=Q(x)$ is a linear ODE, note that in your rewriting $\displaystyle P(x)$ depends of $\displaystyle x$ and $\displaystyle y,$ so it's not linear.