Due to the Easter weekend next week, this assignment can be turned in on Monday April 5.

In Kreyszig, 8.1-8.6, 8.8-8.9 To be covered next week: 8.10-8.11,9.1-9.3

Do all core problems in 8.1-8.6, 8.8-8.9

**
ADDITIONAL PROBLEMS: **

- Show that
- y=e
is the solution of the initial value problem^{ A(t-t_0)}[k_{1}...k_{n}]^{T}+e^{At}int(e^{-As}g(s),s=t_0..t)- y'=Ay+g(t), y
where A is an n by n constant matrix._{1}(t_0)=k_{1},...,y_{n}(t_0)=k_{n}, - y=e
- Solve the initial value problem:
y'

_{1}=y_{1}+y_{2}+cos(t) y'_{2}=y_{2}+sin(t)y

_{1}(2)=6,y_{2}(2)=8. - No other additional problems this week, since there are a lot of core problems already. (Hand in your solutions of core problems.)

**
MAPLE ASSIGNMENT:**

Do the following problems from Kreyszig: 8.6 # 10 8.9 # 15