Question: How do I solve this 4th order PDE?

Hi, everyone, here is my maple code

 

restart;
In := 5.75*10^(-12);             
M := 1000;

E := 10^12;

V := 100;

m := 2300;

K := 10^9;

A := E*In;
B := M*V^2;

C := 2*M*V^2;

F := M + m;

G := K;
pde := A*diff(w(x, t), x $ 4) + B*diff(w(x, t), x $ 2) + C*diff(w(x, t), x, t) + F*diff(w(x, t), t $ 2) + G*w(x, t);
tmax := 0.05;
xmin := 0;
L := 1;
bc := w(0, t) = 0, w(L, t) = 0, D[1, 1](w)(0, t) = 0, D[1, 1](w)(L, t) = 0;

ic := w(x, 0) = 0

pdsA := pdsolve(pde, eval({bc, ic}, L = 1), numeric, spacestep = 0.01)

 

 

 

I keep getting error message: Error, (in pdsolve/numeric/par_hyp) Incorrect number of initial conditions, expected 2, got 1

but when i change the pde to:

pde := A*diff(w(x, t), x $ 4) + B*diff(w(x, t), x $ 2) + C*diff(w(x, t), x, t) + F*diff(w(x, t), t) + G*w(x, t);

it works, although that is not what i am aiming for at all.

how may i solve this? my goal is to find w(x,t)

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