addpath('H:\mydocuments\homework1')

and then Matlab will be able to find the m-files in this directory (see Common Problems with Matlab).
Hints:

• Problem 1
  (b): Read Using the Euler Method in Matlab
  (c): The default tolerances of ode45 are 1e-3 for RelTol, 1e-6 for AbsTol. You can tell Matlab to use smaller tolerances by

  opt=odeset('RelTol',1e-4,'AbsTol',1e-7);
  [ts,ys]=ode45(...,opt)

  (where "..." are the normal arguments of ode45).

• Problem 2: Read Solving ODEs using the Laplace Transform in Matlab .
• Problem 3
  (a): Example: [V,D]=eig(sym([1,2;3,2])) returns a matrix V which has the two eigenvectors as its columns, and a matrix D with the eigenvalues on the diagonal.
  (b): Example: [y1s,y2s]=dsolve(Dy1=y1+2*y2','Dy2=3*y1+2*y2','t')
  (c): You can define f by f = inline('[1,2;3,2]*y','t','y').
  Read the section "Plotting Vector Fields and Trajectories" in Using Matlab for Autonomous Systems.