Question about timevarient& invarient.

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Y(t) = X(2t) is classified as a time-varying system because it does not satisfy the conditions for time invariance. A system is time-invariant if shifting the input results in an equivalent shift in the output, which is not the case here. The discussion emphasizes the importance of checking the definitions and applying them to determine the system's nature. The lack of parameters containing the variable t in the function does not automatically imply time invariance. Therefore, the conclusion is that Y(t) = X(2t) is indeed time-varying.
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why is Y(t)=X(2t) time varient ??
 
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AS you know Angel the rule here by the mentors are that we have to show that we tried doing it. So please show what is your approach and after that by the rule of this forum I can help you.
 
i looked at my function and found no parameters containing the variable t so i said it is a time invarient system..
am i right or wrong?
is there any other way i can use to check whether my function is time varient or time invarient?
 
FOR TIME INVARIANT SYSTEM

[ tex ] x_1(t)------>y_1(t) [ \tex ]
[ tex ] x_2(t)= x_1(t-T) [\tex] ---keep this equation same
x_2(t)------&gt;y_2(t) [\tex]<br /> y_2(t)=y_1(t-T) [\tex]&lt;br /&gt; &lt;br /&gt; If all these conditions are true for that function then YES its TIME INVARIANT else its TIME VARYING. So if you put Y(t)=X(2t) here and you will see that eqn (3) is not equal to eqn(4). So its TIME VARYING.
 

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