Hello all,
having
heateq = D[fT[x, t], t] - a D[fT[x, t], x, x];
fLT = LaplaceTransform[heateq, t, s]
(-fT[x,0]+s LaplaceTransform[fT[x,t],t,s]-a LaplaceTransform[(fT^(2,0))[x,t],t,s])
is there a more simple and concise way to change the result to an (the) ordinary differential equation than
ode = fLT /. LaplaceTransform -> LT /. fT[x, t] -> fT[x] /.
Derivative[2, 0][fT][x, t] -> Derivative[2][fT][x] /. fT[x, 0] -> T0
