Question: LT programme for equations

I am relatively inexperienced with Maple and would like to either be pointed in the right direction or shown a similar example to my problem for reference.

My problem is I need to write a programme using the below equations

d^2x/dt^2=ax+by

d^2y/dt^2=cx+by

I then have to use the below values to show my programme works

a=b=c=d=1

x(0)=1

Dx(0)=0

y(0)=0

Dy(0)=1

After proving it works I have to apply it to a mass spring system using realistic parameters. Using visual and analytical ways to show findings.

md^2x/dt^2=-kx-k(x-y)

md^2y/dt^2=-k(y-x)-ky

when x and y are the displacement from the equilibrium. Initially the masses are displaced from their equilibrium posistions and released so that

x(0)=a, y(0)=b, Dy(0)=Dx(0)=0

then repeat with different smaller calculations

Any help would be much appreciated

Thanks