dsolve error :Warning: Explicit solution could not be found. > In dsolve (line 201) In HW4_Q2 (line 15)

%% HW4_Q2

clear all

syms f(x)
Df = diff(f,x);

ode = 2*(f*diff(f,x)-diff(f,x,2)*diff(f,x,3)-f*diff(f,x,2)+(diff(f,x))^2+(diff(f,x,3))^2+diff(f,x,2)*diff(f,x,4)+f*diff(f,x,3)+diff(f,x,1)*diff(f,x,2)+2*diff(f,x,1)*diff(f,x,2)-2*diff(f,x,3)*diff(f,x,4)-diff(f,x,2)*diff(f,x,4)-diff(f,x,3)*diff(f,x,4))== 0;

cond1 = f(0) == 0;
cond2 = f(pi/2)==0;
cond3 = Df(0)==0;
cond4 = Df(pi/2)==1;
conds = [cond1 cond2 cond3 cond4];

fSol(x) = dsolve(ode,conds)

[madhan ravi]

upload your equations in latex form

[Walter Roberson]

There does not appear to be an analytic solution to the given system.

If you omit cond4, Df(pi/2)==1, then the solution to the rest is f(x) = 0