- #1
X89codered89X
- 154
- 2
I need to derive the solution for the differential equation analytically:
y'' + g(t,y(t)) = 0
y'(0) = z_o
y(0) = y_o
I know the solution is:
y(t) = y_o + z_ot - single integral from 0 to t of (t-s)g(s,y(s))ds
I believe I need to assume something about the solution being a function of e^at somehow due to no damping, but I'm not sure.
y'' + g(t,y(t)) = 0
y'(0) = z_o
y(0) = y_o
I know the solution is:
y(t) = y_o + z_ot - single integral from 0 to t of (t-s)g(s,y(s))ds
I believe I need to assume something about the solution being a function of e^at somehow due to no damping, but I'm not sure.