I'm trying to solve the following
$$y'' + n^2 y = 0$$ with $y(0)=y(H) = 0$
This should return $y(x) = \sin(2n\pi * x/H)$
However, in MATLAB it simply returns zero.
My code is
syms y(x) H n
ode2 = diff(y,x,2) + n^2*y == 0 ;
cond1 = y(0) == 0 ;
cond2 = y(H) == 0 ;
cond = [cond1 cond2];
dsolve(ode2, cond)
This seems like a simple enough problem to solve, I just odn't know where I'm going wrong. Any help greatly appreciated.