Second order ODE with initial and final condition

I am trying to numerically solve the following second order differential equation:

In general A could be a matrix, but for simplicity, I focus on the case where A is a function of t, and a, m & K are constants. I have the initial condition:

and final condition:

How can I specify an initial and a final condition using ode45 or similar?

What can I put for Y0 in my codes below?

function dy= ode_func(t,y)
a=.01; m=100; K=.001;
dy = zeros(2,1);
dy(2)= a/t * exp(-m*t) -K;
dy(1)= y(2);

with main script:

[T,Y] = ode45(@ode_func, [0,100], Y0);
Plot(T,Y)

Thank you,

[Torsten]

Use BVP4C instead of ODE45.