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GATE IN 2024 | Question-24

Consider a system given by the following first order differential equation:
\[
\frac{d y}{d t}=y+2 t-t^{2}
\]
where, $y(0)=1$ and $0 \leq t<\infty$. Using a step size $h=0.1$ for the improved Euler method, the value of $y(t)$ at $t=0.1$ is (rounded off to two decimal places).</p>

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