Difference between LTI and transfer function block

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I have a first order transfer function of the form :
and I know its output form for a step input
I tried impleneting it using transfer function block in simulink with a step input, and didn't get the expected result
But, when implementing it using the LTI block I got the exepected reuslt.
My question is, why the outputs are different, shouldn't they be the same since the trasnfer function can also represent an LTI system?
Thank you
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Paul
Paul 2022-4-17
Can you provide more details explaining exactly what you tried. I see identical output from from the LTI block and the Transfer Function block for a0 = 1 and b0 = 2.

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