Chapter 8.7, Problem 32P

To determine

(a)

To show:

The solution to the system (8.7.22) can be written in the form ${u^{\prime }}_k=\frac{F\left(x\right)W_k\left(x\right)}{W\left[y_1,y_2,\dots ,y_n\right]\left(x\right)}$.

To determine

(b)

To Show:

The particular solution to equation (8.7.23) is $y_p\left(x\right)={\displaystyle \underset{x_0}{\overset{x}{\int }}K\left(x,t\right)F\left(t\right)dt}$.