Why do I have the 2 unresolved constants %k2 and %k1
at %o5 below?
I can't think of any other initial conditions
beside 'diff(x,t)=0 and x=0 at t=0
Thank you.
'diff(x,t,2) + A*'diff(x,t)^2 + B*'diff(x,t) + D = 0;
ode2(%,x,t);
p;
ic2(%,t=0,x=0,'diff(x,t)=0);
2
dx dx 2 d x
(%o1) D + -- B + (--) A + --- = 0
dt dt 2
dt
(%i2)
2
Is 4 A D - B positive or negative?
2
(t + %k1) sqrt(4 A D - B )
2 log(sec(--------------------------)) + t B
2
(%o2) x = %k2 - --------------------------------------------
2 A