Question: Similar concern with 2D wave equation bi-harmonic ...

I am trying to solve (unsuccessfully) the title equation with MAPLE 2020.1

If someone could help me...

Here is my code, inspired by the above code :)


restart;
with(plots);
with(PDEtools);
a := 1;
b := 1;
rho := 8166;
h := 10^(-3);
Dp := 19.2615;
f := sin(7*x)*cos(4*y);
WavEq := [rho*h*diff(w(x, y, t), t $ 2)/Dp + diff(w(x, y, t), x $ 4) + 2*diff(w(x, y, t), x $ 2, y $ 2) + diff(w(x, y, t), y $ 4) = 0, u(0, y, t) = 0, u(a, y, t) = 0, u(x, 0, t) = 0, u(x, b, t) = 0, u(x, y, 0) = f];
sol := pdsolve(WavEq);

This get the following error message : "Error, (in pdsolve/sys) the input system cannot contain equations in the arbitrary parameters alone; found equation depending only on _F1(y,t): _F1(y,t)"

Please Wait...