differential equation

[legacyofpiracy]

I'm having difficulties putting dy/dx=xy/2 into point slope form even though it seems like it should be straightforward. Does this look right to anyone?

separate variables into 

1/y (dy) = x/2 (dx) 

then integrate

ln|y| = 1/4 (x^2)

Y=e^1/4(x^2)

 

[Unco]

You've forgotten to slap on the constant when integrating, which is particularly important when solving DEs.

ln|y| = 1/4 (x^2) + C