П Write the function f(x) = x (1-x) as an eigenfunction ex- pansion of the eigenfunctions corresponding to the Sturm-Liouville prob- lem y" + Xy = 0, 0 < x < y(0) = 0 y (H) = 0 πT

Is f(x)=cosax an eigenfunction of px3? Show work.

Q: Find the eigenvalues of -2 -3 5- A= ー6 -| - 2

Let A E R"Xn and x(A) be its characteristic polynomial. In which case do all the eigenvalues of A have a negative real part by the Lienard-Chipart condition? x(A) = X³ + X² +d+2 x(^) = x³ + x² + +1 x(A) = X3 + 2X² +A+1 x(^) = X3 + A + 1 O 0 0 O