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(a) You are given that two solutions of the homogeneous Euler-Cauchy equation, are y = x -2 and y2 W = = x Confirm

(a) You are given that two solutions of the homogeneous Euler-Cauchy equation, are y = x -2 and y2 W = = x

(a) You are given that two solutions of the homogeneous Euler-Cauchy equation, are y = x -2 and y2 W = = x Confirm the linear independence of your two solutions (for x > 0) by computing their Wronskian, 2 ( 12 v(z)) + = ( + y(x)) 4 y(x)=0, z>0, 22 x (b) Use variation of parameters to find a particular solution of the inhomogeneous Euler-Cauchy equation, (i) First, enter your expression for 2 (12 v(2)) + 2 ( v (2)) 4y (2) = 12, z>0. dx d u(x) (as defined in lectures) below:

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