How to solve this differential equation? I got ''Warning: Unable to find symbolic solution.'' error. What am I missing ?

T=200;
W=37.65;
W=17.4;
FC=400/240/2;
d0=0.005;
C=0.16099608;
curve=10;
hmax=30e3;
g0=9.8;
R=315000;
syms H(t)
ode =diff(H,t,2) == -d0*(exp(-curve*H/hmax)-exp(-curve))*C*diff(H,t,1)^2/(W-t*FC)*9.8-g0/(1+H/R)^2+T/(W-t*FC)*9.8;
hSol(t) = dsolve(ode)

Warning: Unable to find symbolic solution.

 
hSol(t) =
 
[ empty sym ]
 

Answer 1

[Torsten]

You don't miss anything - your equation is just too complicated to have an analytical solution.

You will have to use a numerical approach with one of the solvers for ordinary differential equations (e.g. "ode45").