If \( y(t) \) is a solution of \( (1+t) \frac{d y}{d t}-t y=1 \) an...

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If \( y(t) \) is a solution of \( (1+t) \frac{d y}{d t}-t y=1 \) and \( y(0)=-1 \), then show that \( y(1)=-\frac{1}{2} \).
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