# IVP ODE checking specifics of solution

1. Mar 9, 2013

### cambo86

1. The problem statement, all variables and given/known data
I've got an IVP where,
3xy+y2+(x2+xy)y'=0, y(1)=0

3. The attempt at a solution
I've solved to get,
x2y(x+$\frac{1}{2}$y)=0

Is it correct to say,
x=0 or y=0 or y=-2x,
Since y= 0 is the only solution that fits y(1)=0, then
y=0 $\forall$x

2. Mar 9, 2013

### LCKurtz

I didn't check your solution. But in any case, x=0 wouldn't be a solution. Otherwise, assuming your work is OK, yes.