Exercises

01

Boundary value problem

• (a) Solve the BVP: $y^{\prime \prime }+3y=\cos x,y^{\prime }(0)=0=y^{\prime }(\pi )$.
• (b) Find the eigenvalues and eigenfunctions for the following BVP: $y^{\prime \prime }-\lambda y=0,y(0)=0=y^{\prime }(L)$.

Note carefully the primes for boundary conditions.