(a) You are given that two solutions of the homogeneous Euler-Cauchy equation,

x^(2)*((d^2)/(dx^2)*y(x))+4x((d)/(dx)*y(x))-10y(x)=0 x>0

are y1=x^(-5) and y2=x^(2)

Confirm the linear independence of your two solutions (forx>0) by computing their Wronskian,

W=?

(b)Use variation of parameters to find a particular solution of the inhomogeneous Euler-Cauchy equation,

x^(2)*((d^2)/(dx^2)*y(x))+4x((d)/(dx)*y(x))-10y(x)=35/x^(3) x>0

(i) First, enter your expression for(d)/(dx)*u(x) ?

(ii)Next, enter your expression foru(x) ?

.

Note:Do not include any arbitrary constants of integration.

(iii) Finally, enter your expression foryp ?

.

Note:Your expression forypshould not contain any arbitrary constants.