Question: Find the eigenvalues and eigenfunctions that solve the eigenvalues problem with ODEx''(x)+x(x) with the boundary conditions given below.(a)x(0)=0,dxdx(1)=0(b)dxdx(0)=0,x()=0(c)dxdx(0)=0,dxdx(1)=0(d)x(0)=0,x()=0(e)x(0)=0,dxdx(1)+x(1)=0(f)dxdx(0)+x(0)=0,dxdx(1)=0 kindly dod,e,f with all cases i.e,-lambda>0,-lmba =0,-lambda

Find the eigenvalues and eigenfunctions that solve the eigenvalues problem with ODEx''(x)+x(x) with the boundary conditions given below.(a)x(0)=0,dxdx(1)=0(b)dxdx(0)=0,x()=0(c)dxdx(0)=0,dxdx(1)=0(d)x(0)=0,x()=0(e)x(0)=0,dxdx(1)+x(1)=0(f)dxdx(0)+x(0)=0,dxdx(1)=0 kindly dod,e,f with all cases i.e,-lambda>0,-lmba =0,-lambda <0. Thank you

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