The 2nd order ODE:

has a two-parameter family of solutions:

Solutions such that *y*(0) = 0
necessarily are of the form: *y*(*x*) =
*c _{2}* sin(

*c _{2}* = 0, ¼, ½, 1, 1.25

We can define an IVP by imposing
*y'*(0) = *y _{1}*. The unique solution to
the IVP is

We can define a BVP by imposing
*y*(*x _{1}*) =

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