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psk981
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consider a boundary value problem y"+ky=0, y(0)=0, Y(pi/2)=0. is it possible to determine the values k for trivial solutions. (b) nontrivial.
 2 years ago
 2 years ago
psk981 Group Title
consider a boundary value problem y"+ky=0, y(0)=0, Y(pi/2)=0. is it possible to determine the values k for trivial solutions. (b) nontrivial.
 2 years ago
 2 years ago

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malevolence19 Group TitleBest ResponseYou've already chosen the best response.0
\[y''+ky=0 \implies y=A \cos(\sqrt k t)+B \sin(\sqrt k t)\] From here you can plug in the initial conditions
 one year ago

across Group TitleBest ResponseYou've already chosen the best response.0
Since the boundary conditions are homogeneous, your nontrivial solution (the case \(k>0\)) will be a Fourier sine series. For \(k\leqslant0\), you'll get trivial solutions.
 one year ago
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