Problem with differential equation (DESOLVE)

[salvomic]

(03-03-2015 05:29 PM)ZellAllon Wrote:  Hello,

I don't know why when I try to solve a Homogeneous differential equation my hp prime I get something like:

desolve((y') = ((y/x)+(x/y)),y) = [pnt[G_0*e^((1/2)*_(t38)^2),G_0*_(t38)*e^((1/2)*_(t38)^2)]]

the solution must be Y^2=X^2*LN(X^2)+C*X^2

anyone can help me? please.

see here: Parisse replied to me few time ago...


the "strange" expression should be like
\[ y=c*e^{\frac{t^{2}}{2}} \ AND \ y=c*t*e^{\frac{t^{2}}{2}} \]

G_0 ok for "c", but, yes, "_t38" is a bit bizzarre, and we are lucky that it is not "p38"

Note also that \( e^{\frac{t^{2}}{2}} \) is simply \( \sqrt{e^{t^{2}}} \) ...