How would one go about and solve a boundary value problems i.e.:

y'' + a* y = 0 under dirilecht boundary y(0) = 0 and y(L) = 0; I know this shouldn't yield a trivial solution

likewise if i wanted to do neuman or mixed conditions, how should i approach that? 

thanks

How would I turn this set into matrix form?

would it be possible to seperate the matrix form into:

v1e^(lamba*t) + v2e^(lambda2*t) .... + v^ne^(lambdan*t) where v1, v2, and vn are the eigenvectors and lamba1, lambda2, and lamban are their respective eigenvectors.

Solving_ODE.mw

Here is an example.  How would I solve this non-homogeneous system of ODEs

How would I solve a linear algebra differential equation with initial conditions.

For example, what if I had:

x'(t) = [1 2 ; 3 4] x(t) such that the ics: (0,1)

Hello everyone,

Say I have the differential equation:

x₁'(t) = 3C₁*cos(t) + 2C₂*sin(t)

x₂'(t) = 5C₁*cos(t) + 1C₂*sin(t)

How can one draw phase portraits in maple?