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I would like to have some assistance with two examples of checking times in/variant systems.

I would like to know what's wrong with the following solution of mine(especially the second one):

x1(t)=x1(t-t0) => y1(t)=x(-t-t0)

y2(t)=y2(t-t0)=> y2(t)=x(-(t-t0))=x(-t+t0)

y1(t)=!y2(t) => time variant system.

x1(t)=x1(t-t0)=> y1(t)=x(t^2-t0)

y2(t)=y2(t-t0)=> y2(t)=x((t-t0)^2)

y1(t)=!y2(t)=> time variant system.

I'll appreciate any helpful comment :) thanks.

1) y(t)=x(-t)1) y(t)=x(-t)

**2) y(t)=x(t^2)**

I would like to know what's wrong with the following solution of mine(especially the second one):

1) y(t)=x(-t)1) y(t)=x(-t)

x1(t)=x1(t-t0) => y1(t)=x(-t-t0)

y2(t)=y2(t-t0)=> y2(t)=x(-(t-t0))=x(-t+t0)

y1(t)=!y2(t) => time variant system.

**2)****y(t)=x(t^2)**x1(t)=x1(t-t0)=> y1(t)=x(t^2-t0)

y2(t)=y2(t-t0)=> y2(t)=x((t-t0)^2)

y1(t)=!y2(t)=> time variant system.

I'll appreciate any helpful comment :) thanks.

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