Advanced Search

Question: dsolve to get eigenvalues

Question:dsolve to get eigenvalues

fsenkel1 68 Maple
March 23 2010
0

When I execute the code below, dsolve returns the trivial solution. If I were to apply the BCs by hand I'd conclude that there is a set of eigenvalues associated with the ODE. Is there a way to have Maple produce the eigenvalue equation automatically, or would you typically apply the BCs by hand to find it?

Y_diffEq:=diff(y(x),x$4)-beta^4*y(x)=0;
Y_BCs:=y(0)=0, (D@@2)(y)(0)=0, y(L)=0, (D@@2)(y)(L)=0;
dsolve({Y_diffEq,Y_BCs},y(x));

 

PS

Is there another way to specify the derivative BC?

 

Thank you
 
Please Wait...