Problem (S'94, #6). Consider the eigenvalue problem du d.x2 + u(x) = \u on [0, 1] with the boundary conditions de CO = e

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Problem S 94 6 Consider The Eigenvalue Problem Du D X2 U X U On 0 1 With The Boundary Conditions De Co E 1 (15.14 KiB) Viewed 49 times

Problem (S'94, #6). Consider the eigenvalue problem du d.x2 + u(x) = \u on [0, 1] with the boundary conditions de CO = edit (1) = 0. Show that if ſo v(x) dx = 0) then there is a negative eigenvalue, unless v(2) = 0. = =