Assignment:
Q1. Find the eigenvalues and eigenfunctions of the boundary- value problem
y''+lambday = 0 , y(0) = 0 , y(pi/4) = 0 ( n = pi)
Q2. Find the eigenvalues and eigenfunctions of the boundary- value problem
y''+(lambda+1) y = 0 , y'(0) = 0 , y'(1) = 0
Q3. Find the square norm of the following problem along with the eigenvalues and eigenfunctions
y''+lambday = 0 , y'(0) = 0 , y(1) + y'(1) = 0
Provide complete and step by step solution for the question and show calculations and use formulas.