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1. The problem statement, all variables and given/known data

Solve the given system of linear DEs by systematic elimination.

Dx = y

Dy = z

Dz = x

What I wanted to do is solve this like you would any other system of three eqns, so I wrote:

Dx - y + 0z = 0

0x +Dy - z = 0

-x +0y +Dz = 0

and then I attempted to take two of the equations and eliminate one variable and take another two and eliminate the same variable and then combine those two. But this doesn't work because in each equation only two of the variables are present. Any pointers would be greatly appreciated. Thanks.

2. Relevant equations

3. The attempt at a solution

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# Homework Help: System of 3 Linear DEs in three variables-elimination

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