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create a code to solve the problem of delay differential equatioe

This project received 15 bids from talented freelancers with an average bid price of $79 USD.

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Project Budget
$30 - $250 USD
Total Bids
15
Project Description

I need to get an assist in coding an equation related to the delay differential using Mathematica programming language:

Equation:

y'(t) = -y(t-Pi/2), t>=0,

Y(t) = Sin(t), t<=0.

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